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1055645568 = 2733476797
BaseRepresentation
bin111110111010111…
…101111110000000
32201120101100111000
4332322331332000
54130221124233
6252430052000
735105560605
oct7672757600
92646340430
101055645568
114a198015a
1225564a000
1313a921163
14a02b46ac
1562a23d13
hex3eebdf80

1055645568 has 256 divisors, whose sum is σ = 3262694400. Its totient is φ = 335757312.

The previous prime is 1055645551. The next prime is 1055645599. The reversal of 1055645568 is 8655465501.

1055645568 is a `hidden beast` number, since 1 + 0 + 556 + 45 + 56 + 8 = 666.

It is a super-2 number, since 2×10556455682 = 2228775130476085248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10882896 + ... + 10882992.

It is an arithmetic number, because the mean of its divisors is an integer number (12744900).

Almost surely, 21055645568 is an apocalyptic number.

1055645568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631347200).

1055645568 is an abundant number, since it is smaller than the sum of its proper divisors (2207048832).

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

1055645568 is an equidigital number, since it uses as much as digits as its factorization.

1055645568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 1055645568 is about 32490.6997154570. The cubic root of 1055645568 is about 1018.2147318055.

The spelling of 1055645568 in words is "one billion, fifty-five million, six hundred forty-five thousand, five hundred sixty-eight".