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356316145106562 = 234197115710385057
BaseRepresentation
bin101000100000100010101000…
…1010000011011111010000010
31201201121111020210102211020000
41101001011101100123322002
5333200340431121402222
63301453213255300430
7135023664145614414
oct12101052120337202
91651544223384200
10356316145106562
11a3595912851833
1233b6855807a716
13123a8611b47174
1463dbb172b69b4
152b2d9022209ac
hex144115141be82

356316145106562 has 160 divisors (see below), whose sum is σ = 857699447806080. Its totient is φ = 110229476797440.

The previous prime is 356316145106549. The next prime is 356316145106573. The reversal of 356316145106562 is 265601541613653.

356316145106562 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 1 + 6 + 1 + 4 + 510 + 65 + 62 = 666.

It is a super-2 number, since 2×3563161451065622 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 356316145106499 and 356316145106508.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29117938 + ... + 39502994.

It is an arithmetic number, because the mean of its divisors is an integer number (5360621548788).

Almost surely, 2356316145106562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356316145106562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428849723903040).

356316145106562 is an abundant number, since it is smaller than the sum of its proper divisors (501383302699518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

356316145106562 is a wasteful number, since it uses less digits than its factorization.

356316145106562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385318 (or 10385309 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 356316145106562 in words is "three hundred fifty-six trillion, three hundred sixteen billion, one hundred forty-five million, one hundred six thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 71 81 114 142 157 162 171 213 314 342 426 471 513 639 942 1026 1278 1349 1413 1539 1917 2698 2826 2983 3078 3834 4047 4239 5751 5966 8094 8478 8949 11147 11502 12141 12717 17898 22294 24282 25434 26847 33441 36423 53694 66882 72846 80541 100323 109269 161082 200646 211793 218538 241623 300969 423586 483246 601938 635379 902907 1270758 1805814 1906137 3812274 5718411 10385057 11436822 17155233 20770114 31155171 34310466 62310342 93465513 186931026 197316083 280396539 394632166 560793078 591948249 737339047 841189617 1183896498 1474678094 1630453949 1682379234 1775844747 2212017141 3260907898 3551689494 4424034282 4891361847 5327534241 6636051423 9782723694 10655068482 13272102846 14009441893 14674085541 15982602723 19908154269 28018883786 29348171082 30978625031 31965205446 39816308538 42028325679 44022256623 59724462807 61957250062 84056651358 88044513246 92935875093 115762230379 119448925614 126084977037 132066769869 185871750186 231524460758 252169954074 264133539738 278807625279 347286691137 378254931111 557615250558 694573382274 756509862222 836422875837 1041860073411 1134764793333 1672845751674 2083720146822 2199482377201 2269529586666 2509268627511 3125580220233 4398964754402 5018537255022 6251160440466 6598447131603 9376740660699 13196894263206 18753481321398 19795341394809 39590682789618 59386024184427 118772048368854 178158072553281 356316145106562