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81942912015 = 35172321095573
BaseRepresentation
bin100110001010000101…
…1011001110000001111
321211111202001020020020
41030110023121300033
52320304341141030
6101351040553223
75630423155056
oct1142413316017
9254452036206
1081942912015
113182a701698
1213a6a622813
13795b8117b3
143d74c1339d
1521e8d56510
hex13142d9c0f

81942912015 has 96 divisors (see below), whose sum is σ = 146476693440. Its totient is φ = 38975827968.

The previous prime is 81942912001. The next prime is 81942912071. The reversal of 81942912015 is 51021924918.

It is not a de Polignac number, because 81942912015 - 25 = 81942911983 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 14700769 + ... + 14706341.

It is an arithmetic number, because the mean of its divisors is an integer number (1525798890).

Almost surely, 281942912015 is an apocalyptic number.

81942912015 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

81942912015 is a deficient number, since it is larger than the sum of its proper divisors (64533781425).

81942912015 is a wasteful number, since it uses less digits than its factorization.

81942912015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 81942912015 in words is "eighty-one billion, nine hundred forty-two million, nine hundred twelve thousand, fifteen".

Divisors: 1 3 5 15 17 23 51 69 85 109 115 255 327 345 391 529 545 1173 1587 1635 1853 1955 2507 2645 5559 5573 5865 7521 7935 8993 9265 12535 16719 26979 27795 27865 37605 42619 44965 57661 83595 94741 127857 128179 134895 172983 213095 284223 288305 384537 473705 607457 639285 640895 864915 980237 1421115 1822371 1922685 2179043 2940711 2948117 3037285 4901185 6537129 8844351 9111855 10326769 10895215 13971511 14703555 14740585 30980307 32685645 41914533 44221755 50117989 51633845 69857555 150353967 154901535 209572665 237515687 250589945 321344753 712547061 751769835 964034259 1187578435 1606723765 3562735305 4820171295 5462860801 16388582403 27314304005 81942912015