Search a number
-
+
10076513657 = 78331215557
BaseRepresentation
bin10010110001001101…
…10110010101111001
3222000020201221010112
421120212312111321
5131114041414112
64343514354105
7504463644560
oct113046662571
928006657115
1010076513657
114300a24941
121b5272b935
13c477c9a22
146b839cbd7
153de973a22
hex2589b6579

10076513657 has 16 divisors (see below), whose sum is σ = 11660595072. Its totient is φ = 8528682240.

The previous prime is 10076513651. The next prime is 10076513669. The reversal of 10076513657 is 75631567001.

It is a cyclic number.

It is not a de Polignac number, because 10076513657 - 26 = 10076513593 is a prime.

It is a super-2 number, since 2×100765136572 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10076513651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810523 + ... + 1816079.

It is an arithmetic number, because the mean of its divisors is an integer number (728787192).

Almost surely, 210076513657 is an apocalyptic number.

It is an amenable number.

10076513657 is a deficient number, since it is larger than the sum of its proper divisors (1584081415).

10076513657 is an equidigital number, since it uses as much as digits as its factorization.

10076513657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768.

The product of its (nonzero) digits is 132300, while the sum is 41.

The spelling of 10076513657 in words is "ten billion, seventy-six million, five hundred thirteen thousand, six hundred fifty-seven".

Divisors: 1 7 83 581 3121 5557 21847 38899 259043 461231 1813301 3228617 17343397 121403779 1439501951 10076513657