Search a number
-
+
513216541266 = 2311134797131203
BaseRepresentation
bin1110111011111100001…
…01101111001001010010
31211001200221110120110220
413131332011233021102
531402031413310031
61031433551333510
752035661423542
oct7357605571122
91731627416426
10513216541266
111887213a3580
128356b221296
133951c348ab0
141aba8639322
15d53b0aa596
hex777e16f252

513216541266 has 128 divisors (see below), whose sum is σ = 1244242169856. Its totient is φ = 139053127680.

The previous prime is 513216541183. The next prime is 513216541283. The reversal of 513216541266 is 662145612315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3846021 + ... + 3977223.

It is an arithmetic number, because the mean of its divisors is an integer number (9720641952).

Almost surely, 2513216541266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513216541266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622121084928).

513216541266 is an abundant number, since it is smaller than the sum of its proper divisors (731025628590).

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

513216541266 is a wasteful number, since it uses less digits than its factorization.

513216541266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131376.

The product of its digits is 259200, while the sum is 42.

The spelling of 513216541266 in words is "five hundred thirteen billion, two hundred sixteen million, five hundred forty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 97 141 143 194 282 286 291 429 517 582 611 858 1034 1067 1222 1261 1551 1833 2134 2522 3102 3201 3666 3783 4559 6402 6721 7566 9118 13442 13677 13871 20163 27354 27742 40326 41613 50149 59267 83226 100298 118534 131203 150447 177801 262406 300894 355602 393609 651937 787218 1303874 1443233 1705639 1955811 2886466 3411278 3911622 4329699 5116917 6166541 8659398 10233834 12333082 12726691 18499623 18762029 25453382 36999246 37524058 38180073 56286087 67831951 76360146 80165033 112572174 135663902 139993601 160330066 165446983 203495853 240495099 279987202 330893966 406991706 419980803 480990198 496340949 598154477 839961606 881815363 992681898 1196308954 1763630726 1794463431 1819916813 2645446089 3588926862 3639833626 5290892178 5459750439 6579699247 7776008201 10919500878 13159398494 15552016402 19739097741 23328024603 39478195482 46656049206 85536090211 171072180422 256608270633 513216541266