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12416432643744 = 253472751868937
BaseRepresentation
bin1011010010101110110100…
…0011101001111010100000
31121221222222112120021020020
42310223231003221322200
53111412323224044434
642224010322513440
72421025530044613
oct264535503517240
947858875507206
1012416432643744
113a57863593708
12148647a205880
136c0b31614b5c
1430cd5c37417a
15167ea72c0849
hexb4aed0e9ea0

12416432643744 has 48 divisors (see below), whose sum is σ = 33286606674048. Its totient is φ = 4050751073792.

The previous prime is 12416432643653. The next prime is 12416432643757. The reversal of 12416432643744 is 44734623461421.

12416432643744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 1375929957 + ... + 1375938980.

It is an arithmetic number, because the mean of its divisors is an integer number (693470972376).

Almost surely, 212416432643744 is an apocalyptic number.

It is an amenable number.

12416432643744 is an abundant number, since it is smaller than the sum of its proper divisors (20870174030304).

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

12416432643744 is a wasteful number, since it uses less digits than its factorization.

12416432643744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751868997 (or 2751868989 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 51.

The spelling of 12416432643744 in words is "twelve trillion, four hundred sixteen billion, four hundred thirty-two million, six hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 2751868937 5503737874 8255606811 11007475748 16511213622 22014951496 33022427244 44029902992 66044854488 88059805984 129337840039 132089708976 258675680078 264179417952 388013520117 517351360156 776027040234 1034702720312 1552054080468 2069405440624 3104108160936 4138810881248 6208216321872 12416432643744