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2056370976 = 25351129829
BaseRepresentation
bin111101010010001…
…1011101100100000
312022022102110200000
41322210123230200
513202412332401
6540015100000
7101646602442
oct17244335440
95268373600
102056370976
11965849a50
12494811600
1326a05357a
14157170492
15c07ea186
hex7a91bb20

2056370976 has 288 divisors, whose sum is σ = 6852081600. Its totient is φ = 600929280.

The previous prime is 2056370951. The next prime is 2056370977. The reversal of 2056370976 is 6790736502.

2056370976 is a `hidden beast` number, since 2 + 0 + 5 + 637 + 0 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2056370977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480130 + ... + 2480958.

It is an arithmetic number, because the mean of its divisors is an integer number (23791950).

Almost surely, 22056370976 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 2056370976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426040800).

2056370976 is an abundant number, since it is smaller than the sum of its proper divisors (4795710624).

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

2056370976 is a wasteful number, since it uses less digits than its factorization.

2056370976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 2056370976 is about 45347.2267729792. The cubic root of 2056370976 is about 1271.6487103977.

The spelling of 2056370976 in words is "two billion, fifty-six million, three hundred seventy thousand, nine hundred seventy-six".