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2056478864 = 2411531131951
BaseRepresentation
bin111101010010011…
…0110000010010000
312022022121221122212
41322210312002100
513202424310424
6540021251252
7101650532126
oct17244660220
95268557585
102056478864
11965913010
12494863b28
1326a0906cb
1415719b916
15c081c10e
hex7a936090

2056478864 has 80 divisors (see below), whose sum is σ = 4470142464. Its totient is φ = 908544000.

The previous prime is 2056478803. The next prime is 2056478867. The reversal of 2056478864 is 4688746502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2056478867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053089 + ... + 1055039.

Almost surely, 22056478864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235071232).

2056478864 is an abundant number, since it is smaller than the sum of its proper divisors (2413663600).

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

2056478864 is a wasteful number, since it uses less digits than its factorization.

2056478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The square root of 2056478864 is about 45348.4163339802. The cubic root of 2056478864 is about 1271.6709491277.

The spelling of 2056478864 in words is "two billion, fifty-six million, four hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 113 176 212 226 424 452 583 848 904 1166 1243 1808 1951 2332 2486 3902 4664 4972 5989 7804 9328 9944 11978 15608 19888 21461 23956 31216 42922 47912 65879 85844 95824 103403 131758 171688 206806 220463 263516 343376 413612 440926 527032 827224 881852 1054064 1137433 1654448 1763704 2274866 2425093 3527408 4549732 4850186 9099464 9700372 11684539 18198928 19400744 23369078 38801488 46738156 93476312 128529929 186952624 257059858 514119716 1028239432 2056478864