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34919509056 = 2631731345109
BaseRepresentation
bin100000100001010111…
…010110110001000000
310100010121012212010020
4200201113112301000
51033003343242211
624013010133440
72344223633565
oct404127266100
9110117185106
1034919509056
111389a174aa3
126926581280
1333a6650cc3
14199395686c
15d95981306
hex8215d6c40

34919509056 has 112 divisors (see below), whose sum is σ = 100981946880. Its totient is φ = 10601717760.

The previous prime is 34919509021. The next prime is 34919509057. The reversal of 34919509056 is 65090591943.

It is a super-2 number, since 2×349195090562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (34919509057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71371 + ... + 273738.

Almost surely, 234919509056 is an apocalyptic number.

It is an amenable number.

34919509056 is an abundant number, since it is smaller than the sum of its proper divisors (66062437824).

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

34919509056 is a wasteful number, since it uses less digits than its factorization.

34919509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345172 (or 345162 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 34919509056 in words is "thirty-four billion, nine hundred nineteen million, five hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2976 3162 3264 4216 5952 6324 8432 12648 16864 25296 33728 50592 101184 345109 690218 1035327 1380436 2070654 2760872 4141308 5521744 5866853 8282616 10698379 11043488 11733706 16565232 17600559 21396758 22086976 23467412 32095137 33130464 35201118 42793516 46934824 64190274 66260928 70402236 85587032 93869648 128380548 140804472 171174064 181872443 187739296 256761096 281608944 342348128 363744886 375478592 513522192 545617329 563217888 684696256 727489772 1027044384 1091234658 1126435776 1454979544 2054088768 2182469316 2909959088 4364938632 5819918176 8729877264 11639836352 17459754528 34919509056