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37930931681 is a prime number
BaseRepresentation
bin100011010100110111…
…000001010111100001
310121220110201222100112
4203110313001113201
51110140304303211
625231503301105
72511651412436
oct432467012741
9117813658315
1037930931681
11150a5027425
127426baa795
133766504796
141b9b893b8d
15ec002e88b
hex8d4dc15e1

37930931681 has 2 divisors, whose sum is σ = 37930931682. Its totient is φ = 37930931680.

The previous prime is 37930931617. The next prime is 37930931699. The reversal of 37930931681 is 18613903973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30177248656 + 7753683025 = 173716^2 + 88055^2 .

It is a cyclic number.

It is not a de Polignac number, because 37930931681 - 26 = 37930931617 is a prime.

It is a super-2 number, since 2×379309316812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37930939681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18965465840 + 18965465841.

It is an arithmetic number, because the mean of its divisors is an integer number (18965465841).

Almost surely, 237930931681 is an apocalyptic number.

It is an amenable number.

37930931681 is a deficient number, since it is larger than the sum of its proper divisors (1).

37930931681 is an equidigital number, since it uses as much as digits as its factorization.

37930931681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 50.

The spelling of 37930931681 in words is "thirty-seven billion, nine hundred thirty million, nine hundred thirty-one thousand, six hundred eighty-one".