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1010057160256 = 261256272
BaseRepresentation
bin11101011001011000001…
…10010010011001000000
310120120010121202002201221
432230230012102121000
5113022044113112011
62052002554204424
7132655105126654
oct16545406223100
93516117662657
101010057160256
1135a3a9a31291
1214390a123714
137432ba7a541
1436c5c008a64
151b419665971
hexeb2c192640

1010057160256 has 21 divisors (see below), whose sum is σ = 2004348132139. Its totient is φ = 505024560064.

The previous prime is 1010057160251. The next prime is 1010057160269. The reversal of 1010057160256 is 6520617500101.

The square root of 1010057160256 is 1005016.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010057160251) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7977315 + ... + 8102941.

Almost surely, 21010057160256 is an apocalyptic number.

1010057160256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1010057160256 is the 1005016-th square number.

It is an amenable number.

1010057160256 is a deficient number, since it is larger than the sum of its proper divisors (994290971883).

1010057160256 is an frugal number, since it uses more digits than its factorization.

1010057160256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251266 (or 125629 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 1010057160256 in words is "one trillion, ten billion, fifty-seven million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 125627 251254 502508 1005016 2010032 4020064 8040128 15782143129 31564286258 63128572516 126257145032 252514290064 505028580128 1010057160256