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1056440675889 = 3239728632
BaseRepresentation
bin11110101111110001100…
…01010110111000110001
310201222212011111211110100
433113320301112320301
5114302042303112024
62125153330023013
7136216404403344
oct17277061267061
93658764454410
101056440675889
11378041247085
121508b3a17a69
13788114b7c91
14391bc2d845b
151c73178e7c9
hexf5f8c56e31

1056440675889 has 27 divisors (see below), whose sum is σ = 1531598034603. Its totient is φ = 701705700432.

The previous prime is 1056440675887. The next prime is 1056440675897. The reversal of 1056440675889 is 9885760446501.

The square root of 1056440675889 is 1027833.

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

1056440675889 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 4 + 40 + 6 + 7 + 588 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 707996030625 + 348444645264 = 841425^2 + 590292^2 .

It is not a de Polignac number, because 1056440675889 - 21 = 1056440675887 is a prime.

It is a super-2 number, since 2×10564406758892 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056440675887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1224148672 + ... + 1224149534.

Almost surely, 21056440675889 is an apocalyptic number.

1056440675889 is the 1027833-rd square number.

1056440675889 is the 513917-th centered octagonal number.

It is an amenable number.

1056440675889 is a deficient number, since it is larger than the sum of its proper divisors (475157358714).

1056440675889 is an frugal number, since it uses more digits than its factorization.

1056440675889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 1056440675889 in words is "one trillion, fifty-six billion, four hundred forty million, six hundred seventy-five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 397 863 1191 2589 3573 7767 157609 342611 472827 744769 1027833 1418481 2234307 3083499 6702921 136016567 295673293 408049701 887019879 1224149103 2661059637 117382297321 352146891963 1056440675889