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78243382730232 = 23323137947439973
BaseRepresentation
bin10001110010100101110101…
…000010001001110111111000
3101021000222211212112220011200
4101302211311002021313320
540223414421434331412
6434224302552054200
722323616651516326
oct2162456502116770
9337028755486150
1078243382730232
1122a26917828915
128938112694360
13348741c7598b5
141546dddb46d16
1590a45385c9dc
hex472975089df8

78243382730232 has 96 divisors (see below), whose sum is σ = 224656966634880. Its totient is φ = 24557644074240.

The previous prime is 78243382730171. The next prime is 78243382730239. The reversal of 78243382730232 is 23203728334287.

78243382730232 is a `hidden beast` number, since 7 + 8 + 2 + 4 + 338 + 2 + 73 + 0 + 232 = 666.

It is a super-2 number, since 2×782433827302322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78243382730239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473637403 + ... + 473802570.

It is an arithmetic number, because the mean of its divisors is an integer number (2340176735780).

Almost surely, 278243382730232 is an apocalyptic number.

78243382730232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78243382730232 is an abundant number, since it is smaller than the sum of its proper divisors (146413583904648).

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

78243382730232 is a wasteful number, since it uses less digits than its factorization.

78243382730232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947440053 (or 947440046 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 78243382730232 in words is "seventy-eight trillion, two hundred forty-three billion, three hundred eighty-two million, seven hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 20646 27528 41292 82584 947439973 1894879946 2842319919 3789759892 5684639838 7579519784 8526959757 11369279676 17053919514 22738559352 29370639163 34107839028 35055279001 58741278326 68215678056 70110558002 88111917489 105165837003 117482556652 140221116004 176223834978 210331674006 234965113304 264335752467 280442232008 315497511009 352447669956 420663348012 528671504934 630995022018 704895339912 841326696024 1057343009868 1086713649031 1261990044036 2114686019736 2173427298062 2523980088072 3260140947093 4346854596124 6520281894186 8693709192248 9780422841279 13040563788372 19560845682558 26081127576744 39121691365116 78243382730232