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1056775664 = 24723410239
BaseRepresentation
bin111110111111010…
…001110111110000
32201122111202200102
4332333101313300
54131013310124
6252510211532
735121305420
oct7677216760
92648452612
101056775664
114a258221a
12255ab3ba8
1313ac28659
14a04ca480
1562b98aae
hex3efd1df0

1056775664 has 40 divisors (see below), whose sum is σ = 2441748480. Its totient is φ = 433211328.

The previous prime is 1056775637. The next prime is 1056775669. The reversal of 1056775664 is 4665776501.

It is a super-2 number, since 2×10567756642 = 2233549608045281792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056775669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202544 + ... + 207695.

It is an arithmetic number, because the mean of its divisors is an integer number (61043712).

Almost surely, 21056775664 is an apocalyptic number.

1056775664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1056775664 is an abundant number, since it is smaller than the sum of its proper divisors (1384972816).

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

1056775664 is a wasteful number, since it uses less digits than its factorization.

1056775664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410277 (or 410271 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The square root of 1056775664 is about 32508.0861325302. The cubic root of 1056775664 is about 1018.5779439995.

The spelling of 1056775664 in words is "one billion, fifty-six million, seven hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 410239 820478 1640956 2871673 3281912 5743346 6563824 9435497 11486692 18870994 22973384 37741988 45946768 66048479 75483976 132096958 150967952 264193916 528387832 1056775664