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1037129056 = 25311045493
BaseRepresentation
bin111101110100010…
…101010101100000
32200021112121121021
4331310111111200
54111001112211
6250525135224
734462310605
oct7564252540
92607477537
101037129056
11492483457
1224b3ba514
13136b3a042
149ba546ac
15610b7771
hex3dd15560

1037129056 has 24 divisors (see below), whose sum is σ = 2107715904. Its totient is φ = 501836160.

The previous prime is 1037129017. The next prime is 1037129057. The reversal of 1037129056 is 6509217301.

1037129056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10371290562 = 2151273357598902272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037129057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521755 + ... + 523738.

It is an arithmetic number, because the mean of its divisors is an integer number (87821496).

Almost surely, 21037129056 is an apocalyptic number.

1037129056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1037129056 is an abundant number, since it is smaller than the sum of its proper divisors (1070586848).

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

1037129056 is a wasteful number, since it uses less digits than its factorization.

1037129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045534 (or 1045526 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 1037129056 is about 32204.4881344200. The cubic root of 1037129056 is about 1012.2262613340.

The spelling of 1037129056 in words is "one billion, thirty-seven million, one hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1045493 2090986 4181972 8363944 16727888 32410283 33455776 64820566 129641132 259282264 518564528 1037129056