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90964146110 = 25416110136011
BaseRepresentation
bin101010010110111100…
…0101011011110111110
322200210110002101221112
41110231320223132332
52442243310133420
6105442141202022
76400114325105
oct1245570533676
9280713071845
1090964146110
1135639986362
1215767860312
1387687b7b36
14458cd9503c
152575d298c5
hex152de2b7be

90964146110 has 64 divisors (see below), whose sum is σ = 172171355328. Its totient is φ = 34569600000.

The previous prime is 90964146109. The next prime is 90964146121. The reversal of 90964146110 is 1164146909.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2508005 + ... + 2544015.

It is an arithmetic number, because the mean of its divisors is an integer number (2690177427).

Almost surely, 290964146110 is an apocalyptic number.

90964146110 is a deficient number, since it is larger than the sum of its proper divisors (81207209218).

90964146110 is a wasteful number, since it uses less digits than its factorization.

90964146110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36221.

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 90964146110 in words is "ninety billion, nine hundred sixty-four million, one hundred forty-six thousand, one hundred ten".

Divisors: 1 2 5 10 41 61 82 101 122 202 205 305 410 505 610 1010 2501 4141 5002 6161 8282 12322 12505 20705 25010 30805 36011 41410 61610 72022 180055 252601 360110 505202 1263005 1476451 2196671 2526010 2952902 3637111 4393342 7274222 7382255 10983355 14764510 18185555 21966710 36371110 90063511 149121551 180127022 221863771 298243102 443727542 450317555 745607755 900635110 1109318855 1491215510 2218637710 9096414611 18192829222 45482073055 90964146110