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10667955006 = 23215717921089
BaseRepresentation
bin10011110111101110…
…00001001100111110
31000112110122021010200
421323313001030332
5133321444030011
64522323144330
7525235056432
oct117367011476
930473567120
1010667955006
114584867545
1220988150a6
1310101b9b17
14732b589c2
15426850856
hex27bdc133e

10667955006 has 48 divisors (see below), whose sum is σ = 23392184400. Its totient is φ = 3513429504.

The previous prime is 10667954989. The next prime is 10667955031. The reversal of 10667955006 is 60055976601.

10667955006 is a `hidden beast` number, since 10 + 66 + 79 + 5 + 500 + 6 = 666.

It is a super-2 number, since 2×106679550062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495310 + ... + 516398.

It is an arithmetic number, because the mean of its divisors is an integer number (487337175).

Almost surely, 210667955006 is an apocalyptic number.

10667955006 is an abundant number, since it is smaller than the sum of its proper divisors (12724229394).

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

10667955006 is a wasteful number, since it uses less digits than its factorization.

10667955006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21433 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10667955006 in words is "ten billion, six hundred sixty-seven million, nine hundred fifty-five thousand, six".

Divisors: 1 2 3 6 9 18 157 179 314 358 471 537 942 1074 1413 1611 2826 3222 21089 28103 42178 56206 63267 84309 126534 168618 189801 252927 379602 505854 3310973 3774931 6621946 7549862 9932919 11324793 19865838 22649586 29798757 33974379 59597514 67948758 592664167 1185328334 1777992501 3555985002 5333977503 10667955006