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10006475514 = 237319255907
BaseRepresentation
bin10010101000110111…
…01011001011111010
3221211100221121212020
421110123223023322
5130443124204024
64332533255310
7502653432000
oct112433531372
927740847766
1010006475514
114275438182
121b33194536
13c36146a39
146acd6aa70
153d873b979
hex2546eb2fa

10006475514 has 64 divisors (see below), whose sum is σ = 24567168000. Its totient is φ = 2708509104.

The previous prime is 10006475503. The next prime is 10006475629. The reversal of 10006475514 is 41557460001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88852 + ... + 167055.

It is an arithmetic number, because the mean of its divisors is an integer number (383862000).

Almost surely, 210006475514 is an apocalyptic number.

10006475514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10006475514 is an abundant number, since it is smaller than the sum of its proper divisors (14560692486).

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

10006475514 is a wasteful number, since it uses less digits than its factorization.

10006475514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255952 (or 255938 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 10006475514 in words is "ten billion, six million, four hundred seventy-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 931 1029 1862 2058 2793 5586 6517 13034 19551 39102 255907 511814 767721 1535442 1791349 3582698 4862233 5374047 9724466 10748094 12539443 14586699 25078886 29173398 34035631 37618329 68071262 75236658 87776101 102106893 175552202 204213786 238249417 263328303 476498834 526656606 714748251 1429496502 1667745919 3335491838 5003237757 10006475514