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12148813481640 = 23351153173653709
BaseRepresentation
bin1011000011001001110110…
…1101100100011010101000
31121000102012200220020110120
42300302131231210122220
53043021232222403030
641501030551243240
72362502631515403
oct260623555443250
947012180806416
1012148813481640
113964312545170
121442631079520
136a18221b8074
1430001194cd3a
15161042779010
hexb0c9db646a8

12148813481640 has 128 divisors (see below), whose sum is σ = 40509937468800. Its totient is φ = 2889597701120.

The previous prime is 12148813481639. The next prime is 12148813481657. The reversal of 12148813481640 is 4618431884121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86756895 + ... + 86896814.

It is an arithmetic number, because the mean of its divisors is an integer number (316483886475).

Almost surely, 212148813481640 is an apocalyptic number.

12148813481640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12148813481640 is an abundant number, since it is smaller than the sum of its proper divisors (28361123987160).

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

12148813481640 is a wasteful number, since it uses less digits than its factorization.

12148813481640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173653787 (or 173653783 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 12148813481640 in words is "twelve trillion, one hundred forty-eight billion, eight hundred thirteen million, four hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 5830 6360 6996 8745 11660 13992 17490 23320 34980 69960 173653709 347307418 520961127 694614836 868268545 1041922254 1389229672 1736537090 1910190799 2083844508 2604805635 3473074180 3820381598 4167689016 5209611270 5730572397 6946148360 7640763196 9203646577 9550953995 10419222540 11461144794 15281526392 18407293154 19101907990 20838445080 22922289588 27610939731 28652861985 36814586308 38203815980 45844579176 46018232885 55221879462 57305723970 73629172616 76407631960 92036465770 101240112347 110443758924 114611447940 138054698655 184072931540 202480224694 220887517848 229222895880 276109397310 303720337041 368145863080 404960449388 506200561735 552218794620 607440674082 809920898776 1012401123470 1104437589240 1214881348164 1518601685205 2024802246940 2429762696328 3037203370410 4049604493880 6074406740820 12148813481640