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12704999811700 = 225271743109227789
BaseRepresentation
bin1011100011100001110100…
…0000000010101001110100
31122222120211021121020210111
42320320131000002221310
53131124314422433300
643004332450432404
72450622511360360
oct270703500025164
948876737536714
1012704999811700
1140591841a1a89
121512392892704
137120cb950791
1431ccd4d362a0
15170745de39ba
hexb8e1d002a74

12704999811700 has 288 divisors, whose sum is σ = 34451032492800. Its totient is φ = 3967666053120.

The previous prime is 12704999811689. The next prime is 12704999811719. The reversal of 12704999811700 is 711899940721.

It is a super-2 number, since 2×127049998117002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55661406 + ... + 55889194.

It is an arithmetic number, because the mean of its divisors is an integer number (119621640600).

Almost surely, 212704999811700 is an apocalyptic number.

12704999811700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12704999811700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225516246400).

12704999811700 is an abundant number, since it is smaller than the sum of its proper divisors (21746032681100).

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

12704999811700 is a wasteful number, since it uses less digits than its factorization.

12704999811700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227979 (or 227972 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 58.

The spelling of 12704999811700 in words is "twelve trillion, seven hundred four billion, nine hundred ninety-nine million, eight hundred eleven thousand, seven hundred".