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10344787164 = 22321720998053
BaseRepresentation
bin10011010001001100…
…01110110011011100
3222200221112122012100
421220212032303130
5132141231142124
64430300405100
7514232145225
oct115046166334
928627478170
1010344787164
1144293a9788
122008546790
13c8b269a4a
14701c7424c
154082b71c9
hex26898ecdc

10344787164 has 72 divisors (see below), whose sum is σ = 27704149200. Its totient is φ = 3243474432.

The previous prime is 10344787133. The next prime is 10344787231. The reversal of 10344787164 is 46178744301.

10344787164 is a `hidden beast` number, since 10 + 3 + 4 + 478 + 7 + 164 = 666.

10344787164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1280562 + ... + 1288614.

It is an arithmetic number, because the mean of its divisors is an integer number (384779850).

Almost surely, 210344787164 is an apocalyptic number.

It is an amenable number.

10344787164 is an abundant number, since it is smaller than the sum of its proper divisors (17359362036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10344787164 is a wasteful number, since it uses less digits than its factorization.

10344787164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10344787164 in words is "ten billion, three hundred forty-four million, seven hundred eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2099 4198 6297 8053 8396 12594 16106 18891 24159 25188 32212 35683 37782 48318 71366 72477 75564 96636 107049 136901 142732 144954 214098 273802 289908 321147 410703 428196 547604 642294 821406 1232109 1284588 1642812 2464218 4928436 16903247 33806494 50709741 67612988 101419482 152129223 202838964 287355199 304258446 574710398 608516892 862065597 1149420796 1724131194 2586196791 3448262388 5172393582 10344787164