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34438653536 = 257236136079
BaseRepresentation
bin100000000100101101…
…000010011001100000
310021220002101212100112
4200010231002121200
51031012243403121
623453151510452
72326264503500
oct400455023140
9107802355315
1034438653536
11136727a4141
126811528428
13332ab3cb01
141949b45a00
15d6864a75b
hex804b42660

34438653536 has 72 divisors (see below), whose sum is σ = 78905473920. Its totient is φ = 14752910592.

The previous prime is 34438653481. The next prime is 34438653559. The reversal of 34438653536 is 63535683443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5662145 + ... + 5668223.

It is an arithmetic number, because the mean of its divisors is an integer number (1095909360).

Almost surely, 234438653536 is an apocalyptic number.

It is an amenable number.

34438653536 is an abundant number, since it is smaller than the sum of its proper divisors (44466820384).

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

34438653536 is a wasteful number, since it uses less digits than its factorization.

34438653536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9701 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 50.

The spelling of 34438653536 in words is "thirty-four billion, four hundred thirty-eight million, six hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3613 6079 7226 12158 14452 24316 25291 28904 42553 48632 50582 57808 85106 97264 101164 115616 170212 177037 194528 202328 297871 340424 354074 404656 595742 680848 708148 809312 1191484 1361696 1416296 2382968 2832592 4765936 5665184 9531872 21963427 43926854 87853708 153743989 175707416 307487978 351414832 614975956 702829664 1076207923 1229951912 2152415846 2459903824 4304831692 4919807648 8609663384 17219326768 34438653536