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103980915792 = 24321355545361
BaseRepresentation
bin110000011010110111…
…1101101110001010000
3100221101121102211002100
41200311233231301100
53200423103301132
6115433531520400
710340513125665
oct1406557556120
9327347384070
10103980915792
1140109575056
121819abb9100
139a614ab810
145065a47a6c
152a8899037c
hex1835bedc50

103980915792 has 60 divisors (see below), whose sum is σ = 313386932404. Its totient is φ = 31994127360.

The previous prime is 103980915781. The next prime is 103980915823. The reversal of 103980915792 is 297519089301.

103980915792 is a `hidden beast` number, since 10 + 398 + 0 + 9 + 157 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63425400336 + 40555515456 = 251844^2 + 201384^2 .

It is a super-3 number, since 3×1039809157923 (a number of 34 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 27770809 + ... + 27774552.

Almost surely, 2103980915792 is an apocalyptic number.

103980915792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103980915792 is an abundant number, since it is smaller than the sum of its proper divisors (209406016612).

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

103980915792 is a wasteful number, since it uses less digits than its factorization.

103980915792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55545388 (or 55545379 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 103980915792 in words is "one hundred three billion, nine hundred eighty million, nine hundred fifteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 55545361 111090722 166636083 222181444 333272166 444362888 499908249 666544332 722089693 888725776 999816498 1333088664 1444179386 1999632996 2166269079 2666177328 2888358772 3999265992 4332538158 5776717544 6498807237 7998531984 8665076316 11553435088 12997614474 17330152632 25995228948 34660305264 51990457896 103980915792