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37145128968 = 2332520999041
BaseRepresentation
bin100010100110000001…
…011011000000001000
310112212201010001200100
4202212001123000020
51102033123111333
625021513005400
72453330246433
oct424601330010
9115781101610
1037145128968
11148315031a2
1272479b3860
13366c782a6c
141b2538281a
15e7605e213
hex8a605b008

37145128968 has 48 divisors (see below), whose sum is σ = 100621719900. Its totient is φ = 12379207680.

The previous prime is 37145128949. The next prime is 37145128981. The reversal of 37145128968 is 86982154173.

37145128968 is a `hidden beast` number, since 37 + 1 + 4 + 512 + 8 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35918588484 + 1226540484 = 189522^2 + 35022^2 .

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, 325528 + ... + 424568.

Almost surely, 237145128968 is an apocalyptic number.

It is an amenable number.

37145128968 is an abundant number, since it is smaller than the sum of its proper divisors (63476590932).

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

37145128968 is a wasteful number, since it uses less digits than its factorization.

37145128968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104262 (or 104255 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 37145128968 in words is "thirty-seven billion, one hundred forty-five million, one hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5209 10418 15627 20836 31254 41672 46881 62508 93762 99041 125016 187524 198082 297123 375048 396164 594246 792328 891369 1188492 1782738 2376984 3565476 7130952 515904569 1031809138 1547713707 2063618276 3095427414 4127236552 4643141121 6190854828 9286282242 12381709656 18572564484 37145128968