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11902768685424 = 2432653719176053
BaseRepresentation
bin1010110100110101010001…
…0011001010000101110000
31120010220010102012112221100
42231031110103022011300
53030003332240413144
641152020105324400
72335642463330121
oct255152423120560
946126112175840
1011902768685424
113879a32689081
121402a05196700
13684570694c56
142d2150550048
15159941cd7269
hexad3544ca170

11902768685424 has 120 divisors (see below), whose sum is σ = 33408823930560. Its totient is φ = 3955981395456.

The previous prime is 11902768685419. The next prime is 11902768685447. The reversal of 11902768685424 is 42458686720911.

It is a happy number.

11902768685424 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 2 + 7 + 6 + 86 + 8 + 542 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67520982 + ... + 67697034.

It is an arithmetic number, because the mean of its divisors is an integer number (278406866088).

Almost surely, 211902768685424 is an apocalyptic number.

It is an amenable number.

11902768685424 is an abundant number, since it is smaller than the sum of its proper divisors (21506055245136).

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

11902768685424 is a wasteful number, since it uses less digits than its factorization.

11902768685424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177439 (or 177430 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11902768685424 in words is "eleven trillion, nine hundred two billion, seven hundred sixty-eight million, six hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 653 719 1306 1438 1959 2157 2612 2876 3918 4314 5224 5752 5877 6471 7836 8628 10448 11504 11754 12942 15672 17256 23508 25884 31344 34512 47016 51768 94032 103536 176053 352106 469507 528159 704212 939014 1056318 1408424 1408521 1584477 1878028 2112636 2816848 2817042 3168954 3756056 4225272 4225563 5634084 6337908 7512112 8450544 8451126 11268168 12675816 16902252 22536336 25351632 33804504 67609008 114962609 126582107 229925218 253164214 344887827 379746321 459850436 506328428 689775654 759492642 919700872 1012656856 1034663481 1139238963 1379551308 1518985284 1839401744 2025313712 2069326962 2278477926 2759102616 3037970568 4138653924 4556955852 5518205232 6075941136 8277307848 9113911704 16554615696 18227823408 82658115871 165316231742 247974347613 330632463484 495948695226 661264926968 743923042839 991897390452 1322529853936 1487846085678 1983794780904 2975692171356 3967589561808 5951384342712 11902768685424