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112672332605040 = 24351336112927117
BaseRepresentation
bin11001100111100110010010…
…010111000110011001110000
3112202221100222120210202000020
4121213212102113012121300
5104232010414121330130
61035344542141523440
732506210303052235
oct3147462227063160
9482840876722006
10112672332605040
11329a00824372aa
12107787a0273580
134ab3c55c5a430
141db75273a578c
15d05cec830e10
hex6679925c6670

112672332605040 has 80 divisors (see below), whose sum is σ = 376152248861088. Its totient is φ = 27734728025088.

The previous prime is 112672332605039. The next prime is 112672332605047. The reversal of 112672332605040 is 40506233276211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 112672332604983 and 112672332605001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112672332605047) 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 15 ways as a sum of consecutive naturals, for example, 18056460439 + ... + 18056466678.

Almost surely, 2112672332605040 is an apocalyptic number.

112672332605040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112672332605040 is an abundant number, since it is smaller than the sum of its proper divisors (263479916256048).

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

112672332605040 is a wasteful number, since it uses less digits than its factorization.

112672332605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36112927146 (or 36112927140 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 112672332605040 in words is "one hundred twelve trillion, six hundred seventy-two billion, three hundred thirty-two million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 36112927117 72225854234 108338781351 144451708468 180564635585 216677562702 288903416936 361129271170 433355125404 469468052521 541693906755 577806833872 722258542340 866710250808 938936105042 1083387813510 1408404157563 1444517084680 1733420501616 1877872210084 2166775627020 2347340262605 2816808315126 2889034169360 3755744420168 4333551254040 4694680525210 5633616630252 7042020787815 7511488840336 8667102508080 9389361050420 11267233260504 14084041575630 18778722100840 22534466521008 28168083151260 37557444201680 56336166302520 112672332605040