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113972195688 = 233132315882413
BaseRepresentation
bin110101000100101000…
…1011011000101101000
3101220011220210102110220
41222021101123011220
53331403340230223
6124205203410040
711143223451621
oct1521121330550
9356156712426
10113972195688
114437637356a
121a109083920
13a994434b60
14573297aa48
152e70bc96e3
hex1a8945b168

113972195688 has 64 divisors (see below), whose sum is σ = 320189466240. Its totient is φ = 33543654144.

The previous prime is 113972195663. The next prime is 113972195717. The reversal of 113972195688 is 886591279311.

113972195688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1139721956882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7934031 + ... + 7948382.

It is an arithmetic number, because the mean of its divisors is an integer number (5002960410).

Almost surely, 2113972195688 is an apocalyptic number.

It is an amenable number.

113972195688 is an abundant number, since it is smaller than the sum of its proper divisors (206217270552).

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

113972195688 is a wasteful number, since it uses less digits than its factorization.

113972195688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15882458 (or 15882454 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The spelling of 113972195688 in words is "one hundred thirteen billion, nine hundred seventy-two million, one hundred ninety-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 15882413 31764826 47647239 63529652 95294478 127059304 190588956 206471369 365295499 381177912 412942738 619414107 730590998 825885476 1095886497 1238828214 1461181996 1651770952 2191772994 2477656428 2922363992 4383545988 4748841487 4955312856 8767091976 9497682974 14246524461 18995365948 28493048922 37990731896 56986097844 113972195688