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85663423728 = 24324196072339
BaseRepresentation
bin100111111000111110…
…0000001110011110000
322012010000211210211100
41033301330001303300
52400414314024403
6103204144244400
76121551042021
oct1176174016360
9265100753740
1085663423728
1133369851163
1214728610700
13810256770c
144208db2c48
1523657c02a3
hex13f1f01cf0

85663423728 has 120 divisors (see below), whose sum is σ = 240809587200. Its totient is φ = 28427236992.

The previous prime is 85663423723. The next prime is 85663423763. The reversal of 85663423728 is 82732436658.

85663423728 is a `hidden beast` number, since 8 + 566 + 3 + 4 + 2 + 3 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85663423723) by changing a digit.

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, 36622783 + ... + 36625121.

It is an arithmetic number, because the mean of its divisors is an integer number (2006746560).

Almost surely, 285663423728 is an apocalyptic number.

It is an amenable number.

85663423728 is an abundant number, since it is smaller than the sum of its proper divisors (155146163472).

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

85663423728 is a wasteful number, since it uses less digits than its factorization.

85663423728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3370 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 85663423728 in words is "eighty-five billion, six hundred sixty-three million, four hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 419 607 838 1214 1257 1676 1821 2339 2428 2514 3352 3642 3771 4678 4856 5028 5463 6704 7017 7284 7542 9356 9712 10056 10926 14034 14568 15084 18712 20112 21051 21852 28068 29136 30168 37424 42102 43704 56136 60336 84204 87408 112272 168408 254333 336816 508666 762999 980041 1017332 1419773 1525998 1960082 2034664 2288997 2839546 2940123 3051996 3920164 4069328 4259319 4577994 5679092 5880246 6103992 7840328 8518638 8820369 9155988 11358184 11760492 12207984 12777957 15680656 17037276 17640738 18311976 22716368 23520984 25555914 34074552 35281476 36623952 47041968 51111828 68149104 70562952 102223656 141125904 204447312 594884887 1189769774 1784654661 2379539548 3569309322 4759079096 5353963983 7138618644 9518158192 10707927966 14277237288 21415855932 28554474576 42831711864 85663423728