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11979424817120 = 255103372479579
BaseRepresentation
bin1010111001010010110101…
…0111000101111111100000
31120102012222201020111222002
42232110231113011333200
53032232330223121440
641251134412303132
72344325212600415
oct256245527057740
946365881214862
1011979424817120
1138a949a008432
121415839171aa8
1368b868ac8267
142d5b4317010c
1515b92b93a115
hexae52d5c5fe0

11979424817120 has 48 divisors (see below), whose sum is σ = 28328788802160. Its totient is φ = 4787131167744.

The previous prime is 11979424817111. The next prime is 11979424817147. The reversal of 11979424817120 is 2171842497911.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36074510 + ... + 36405069.

It is an arithmetic number, because the mean of its divisors is an integer number (590183100045).

Almost surely, 211979424817120 is an apocalyptic number.

11979424817120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11979424817120 is an abundant number, since it is smaller than the sum of its proper divisors (16349363985040).

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

11979424817120 is a wasteful number, since it uses less digits than its factorization.

11979424817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72480627 (or 72480619 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 56.

The spelling of 11979424817120 in words is "eleven trillion, nine hundred seventy-nine billion, four hundred twenty-four million, eight hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1033 2066 4132 5165 8264 10330 16528 20660 33056 41320 82640 165280 72479579 144959158 289918316 362397895 579836632 724795790 1159673264 1449591580 2319346528 2899183160 5798366320 11596732640 74871405107 149742810214 299485620428 374357025535 598971240856 748714051070 1197942481712 1497428102140 2395884963424 2994856204280 5989712408560 11979424817120