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82918190916 = 223311471485031
BaseRepresentation
bin100110100111001001…
…1110010111101000100
321221000201012112101000
41031032103302331010
52324304024102131
6102031520333300
75663534664561
oct1151623627504
9257021175330
1082918190916
1132190180110
12140a1174230
137a858a46c2
144028567868
1522547a2ce6
hex134e4f2f44

82918190916 has 96 divisors (see below), whose sum is σ = 239505960960. Its totient is φ = 24592096800.

The previous prime is 82918190911. The next prime is 82918190933. The reversal of 82918190916 is 61909181928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82918190911) by changing a digit.

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, 686680 + ... + 798351.

It is an arithmetic number, because the mean of its divisors is an integer number (2494853760).

Almost surely, 282918190916 is an apocalyptic number.

It is an amenable number.

82918190916 is an abundant number, since it is smaller than the sum of its proper divisors (156587770044).

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

82918190916 is a wasteful number, since it uses less digits than its factorization.

82918190916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485102 (or 1485094 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 82918190916 in words is "eighty-two billion, nine hundred eighteen million, one hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 396 423 517 564 594 846 1034 1188 1269 1551 1692 2068 2538 3102 4653 5076 6204 9306 13959 18612 27918 55836 1485031 2970062 4455093 5940124 8910186 13365279 16335341 17820372 26730558 32670682 40095837 49006023 53461116 65341364 69796457 80191674 98012046 139592914 147018069 160383348 196024092 209389371 279185828 294036138 418778742 441054207 588072276 628168113 767761027 837557484 882108414 1256336226 1535522054 1764216828 1884504339 2303283081 2512672452 3071044108 3769008678 4606566162 6909849243 7538017356 9213132324 13819698486 20729547729 27639396972 41459095458 82918190916