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12990929985 = 3351173293409
BaseRepresentation
bin11000001100101000…
…11101110001000001
31020112100201121202000
430012110131301001
5203101134224420
65545024414213
7636633040305
oct140624356101
936470647660
1012990929985
11556704aa80
122626777369
1312c0547527
148b3487d05
1551075e690
hex30651dc41

12990929985 has 128 divisors (see below), whose sum is σ = 25689484800. Its totient is φ = 6176010240.

The previous prime is 12990929977. The next prime is 12990930019. The reversal of 12990929985 is 58992909921.

It is not a de Polignac number, because 12990929985 - 23 = 12990929977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31762461 + ... + 31762869.

It is an arithmetic number, because the mean of its divisors is an integer number (200699100).

Almost surely, 212990929985 is an apocalyptic number.

12990929985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12990929985 is a deficient number, since it is larger than the sum of its proper divisors (12698554815).

12990929985 is a wasteful number, since it uses less digits than its factorization.

12990929985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 12990929985 in words is "twelve billion, nine hundred ninety million, nine hundred twenty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 73 99 135 165 219 293 297 365 409 495 657 803 879 1095 1227 1465 1485 1971 2045 2409 2637 3223 3285 3681 4015 4395 4499 6135 7227 7911 9669 9855 11043 12045 13185 13497 16115 18405 21389 21681 22495 29007 29857 36135 39555 40491 48345 55215 64167 67485 87021 89571 106945 108405 119837 121473 145035 149285 192501 202455 235279 268713 320835 328427 359511 435105 447855 577503 599185 607365 705837 806139 962505 985281 1078533 1176395 1318207 1343565 1642135 1797555 2117511 2887515 2955843 3235599 3529185 3954621 4030695 4926405 5392665 6352533 6591035 8748101 8867529 10587555 11863863 14779215 16177995 19773105 26244303 31762665 35591589 43740505 44337645 59319315 78732909 96229111 131221515 177957945 236198727 288687333 393664545 481145555 866061999 1180993635 1443436665 2598185997 4330309995 12990929985