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534093789656 = 237376118892237
BaseRepresentation
bin1111100010110100111…
…10000111100111011000
31220001120220200200021202
413301122132013213120
532222311002232111
61045205335253332
753405225210120
oct7613236074730
91801526620252
10534093789656
11196565025269
1287616b1a248
133b4986b23cb
141bbc9237c80
15dd5dd5bb3b
hex7c5a7879d8

534093789656 has 128 divisors (see below), whose sum is σ = 1195854710400. Its totient is φ = 218846085120.

The previous prime is 534093789653. The next prime is 534093789679. The reversal of 534093789656 is 656987390435.

It is a super-2 number, since 2×5340937896562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 534093789592 and 534093789601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534093789653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238753370 + ... + 238755606.

It is an arithmetic number, because the mean of its divisors is an integer number (9342614925).

Almost surely, 2534093789656 is an apocalyptic number.

534093789656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534093789656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597927355200).

534093789656 is an abundant number, since it is smaller than the sum of its proper divisors (661760920744).

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

534093789656 is a wasteful number, since it uses less digits than its factorization.

534093789656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 65.

The spelling of 534093789656 in words is "five hundred thirty-four billion, ninety-three million, seven hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 37 56 61 74 122 148 244 259 296 427 488 518 854 1036 1708 1889 2072 2237 2257 3416 3778 4474 4514 7556 8948 9028 13223 15112 15659 15799 17896 18056 26446 31318 31598 52892 62636 63196 69893 82769 105784 115229 125272 126392 136457 139786 165538 230458 272914 279572 331076 460916 489251 545828 559144 579383 662152 806603 921832 955199 978502 1091656 1158766 1613206 1910398 1957004 2317532 3226412 3820796 3914008 4225693 4263473 4635064 5048909 6452824 7641592 8451386 8526946 10097818 16902772 17053892 20195636 29579851 29844311 33805544 34107784 35342363 40391272 59159702 59688622 70684726 118319404 119377244 141369452 156350641 236638808 238754488 257767273 282738904 312701282 515534546 625402564 1031069092 1094454487 1250805128 1804370911 2062138184 2188908974 3608741822 4377817948 7217483644 8755635896 9537389101 14434967288 19074778202 38149556404 66761723707 76299112808 133523447414 267046894828 534093789656