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37109479681 is a prime number
BaseRepresentation
bin100010100011111001…
…011011100100000001
310112210020000220001101
4202203321123210001
51102000011322211
625014200534401
72452415241601
oct424371334401
9115706026041
1037109479681
111481337437a
127237a81401
133665280601
141b20742c01
15e72d6b5c1
hex8a3e5b901

37109479681 has 2 divisors, whose sum is σ = 37109479682. Its totient is φ = 37109479680.

The previous prime is 37109479637. The next prime is 37109479703. The reversal of 37109479681 is 18697490173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19110574081 + 17998905600 = 138241^2 + 134160^2 .

It is a cyclic number.

It is not a de Polignac number, because 37109479681 - 27 = 37109479553 is a prime.

It is a super-2 number, since 2×371094796812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37109479601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18554739840 + 18554739841.

It is an arithmetic number, because the mean of its divisors is an integer number (18554739841).

Almost surely, 237109479681 is an apocalyptic number.

It is an amenable number.

37109479681 is a deficient number, since it is larger than the sum of its proper divisors (1).

37109479681 is an equidigital number, since it uses as much as digits as its factorization.

37109479681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2286144, while the sum is 55.

It can be divided in two parts, 371094 and 79681, that added together give a triangular number (450775 = T949).

The spelling of 37109479681 in words is "thirty-seven billion, one hundred nine million, four hundred seventy-nine thousand, six hundred eighty-one".