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34797920832 = 2632531139869
BaseRepresentation
bin100000011010000111…
…100010001001000000
310022211010102112102200
4200122013202021000
51032231231431312
623552544113200
72341216306143
oct403207421100
9108733375380
1034797920832
1113837578a64
1268b1905800
1333873bc1cc
14198174605a
15d89e650dc
hex81a1e2240

34797920832 has 84 divisors (see below), whose sum is σ = 101623969980. Its totient is φ = 11380442112.

The previous prime is 34797920813. The next prime is 34797920867. The reversal of 34797920832 is 23802979743.

34797920832 is a `hidden beast` number, since 3 + 479 + 7 + 92 + 0 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26018980416 + 8778940416 = 161304^2 + 93696^2 .

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, 539407 + ... + 600462.

Almost surely, 234797920832 is an apocalyptic number.

34797920832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34797920832 is an abundant number, since it is smaller than the sum of its proper divisors (66826049148).

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

34797920832 is a wasteful number, since it uses less digits than its factorization.

34797920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139940 (or 1139927 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 34797920832 in words is "thirty-four billion, seven hundred ninety-seven million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 1139869 2279738 3419607 4559476 6839214 9118952 10258821 13678428 18237904 20517642 27356856 36475808 41035284 54713712 60413057 72951616 82070568 109427424 120826114 164141136 181239171 218854848 241652228 328282272 362478342 483304456 543717513 656564544 724956684 966608912 1087435026 1449913368 1933217824 2174870052 2899826736 3866435648 4349740104 5799653472 8699480208 11599306944 17398960416 34797920832