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37930829913 = 32174124592
BaseRepresentation
bin100011010100110110…
…101000100001011001
310121220110112210202100
4203110312220201121
51110140243024123
625231501154013
72511650506644
oct432466504131
9117813483670
1037930829913
11150a4a67a19
127426b5b909
13376649a372
141b9b868a5b
15ec000e643
hex8d4da8859

37930829913 has 36 divisors (see below), whose sum is σ = 59450957748. Its totient is φ = 23209812480.

The previous prime is 37930829869. The next prime is 37930829917. The reversal of 37930829913 is 31992803973.

37930829913 is a `hidden beast` number, since 37 + 9 + 308 + 299 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13931553024 + 23999276889 = 118032^2 + 154917^2 .

It is not a de Polignac number, because 37930829913 - 218 = 37930567769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37930829913.

It is not an unprimeable number, because it can be changed into a prime (37930829917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15424078 + ... + 15426536.

It is an arithmetic number, because the mean of its divisors is an integer number (1651415493).

Almost surely, 237930829913 is an apocalyptic number.

It is an amenable number.

37930829913 is a deficient number, since it is larger than the sum of its proper divisors (21520127835).

37930829913 is an equidigital number, since it uses as much as digits as its factorization.

37930829913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 37930829913 in words is "thirty-seven billion, nine hundred thirty million, eight hundred twenty-nine thousand, nine hundred thirteen".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 2459 6273 7377 22131 41803 100819 125409 302457 376227 907371 1713923 5141769 6046681 15425307 18140043 54420129 102793577 247913921 308380731 743741763 925142193 2231225289 4214536657 12643609971 37930829913