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10044575757 = 321116063973
BaseRepresentation
bin10010101101011010…
…00001000000001101
3221221000122022120100
421112231001000031
5131032402411012
64340414041313
7503625325266
oct112655010015
927830568510
1010044575757
1142949a0487
121b43aa9239
13c40cc6968
146b404796d
153dbc658dc
hex256b4100d

10044575757 has 6 divisors (see below), whose sum is σ = 14508831662. Its totient is φ = 6696383832.

The previous prime is 10044575729. The next prime is 10044575767. The reversal of 10044575757 is 75757544001.

10044575757 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 575 + 75 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7087282596 + 2957293161 = 84186^2 + 54381^2 .

It is not a de Polignac number, because 10044575757 - 26 = 10044575693 is a prime.

It is a super-2 number, since 2×100445757572 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044575707) 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 5 ways as a sum of consecutive naturals, for example, 558031978 + ... + 558031995.

Almost surely, 210044575757 is an apocalyptic number.

It is an amenable number.

10044575757 is a deficient number, since it is larger than the sum of its proper divisors (4464255905).

10044575757 is a wasteful number, since it uses less digits than its factorization.

10044575757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116063979 (or 1116063976 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 10044575757 in words is "ten billion, forty-four million, five hundred seventy-five thousand, seven hundred fifty-seven".

Divisors: 1 3 9 1116063973 3348191919 10044575757