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10076717307 = 33137612787
BaseRepresentation
bin10010110001001111…
…01000000011111011
3222000021010021111010
421120213220003323
5131114114423212
64343523005003
7504465453366
oct113047500373
928007107433
1010076717307
114301053948
121b52809763
13c4786b627
146b84130dd
153de9b403c
hex2589e80fb

10076717307 has 48 divisors (see below), whose sum is σ = 14499603456. Its totient is φ = 6213801600.

The previous prime is 10076717281. The next prime is 10076717323. The reversal of 10076717307 is 70371767001.

10076717307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10076717307 - 27 = 10076717179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10076717347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12803568 + ... + 12804354.

It is an arithmetic number, because the mean of its divisors is an integer number (302075072).

Almost surely, 210076717307 is an apocalyptic number.

10076717307 is a deficient number, since it is larger than the sum of its proper divisors (4422886149).

10076717307 is an equidigital number, since it uses as much as digits as its factorization.

10076717307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 39.

The spelling of 10076717307 in words is "ten billion, seventy-six million, seven hundred seventeen thousand, three hundred seven".

Divisors: 1 3 31 37 61 93 111 183 787 1147 1891 2257 2361 3441 3721 5673 6771 11163 24397 29119 48007 69967 73191 87357 115351 137677 144021 209901 346053 413031 902689 1488217 1776259 2708067 2928427 4267987 4464651 5328777 8785281 12803961 55064029 90781237 108351799 165192087 272343711 325055397 3358905769 10076717307