Search a number
-
+
112763256766600 = 2352112318112312281
BaseRepresentation
bin11001101000111010111101…
…110111010000000010001000
3112210021001200020122201110111
4121220322331313100002020
5104240003122213012400
61035454420334124104
732515606423505326
oct3150727567200210
9483231606581414
10112763256766600
1132a256a0792680
1210792336650634
134abc6b638576b
141dbbab0d0cd16
15d0836edad3ba
hex668ebddd0088

112763256766600 has 192 divisors, whose sum is σ = 300092666590080. Its totient is φ = 39005303040000.

The previous prime is 112763256766597. The next prime is 112763256766639. The reversal of 112763256766600 is 6667652367211.

It is a super-2 number, since 2×1127632567666002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002460 + ... + 15314740.

It is an arithmetic number, because the mean of its divisors is an integer number (1562982638490).

Almost surely, 2112763256766600 is an apocalyptic number.

112763256766600 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 112763256766600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150046333295040).

112763256766600 is an abundant number, since it is smaller than the sum of its proper divisors (187329409823480).

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

112763256766600 is a wasteful number, since it uses less digits than its factorization.

112763256766600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312512 (or 12312503 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 112763256766600 in words is "one hundred twelve trillion, seven hundred sixty-three billion, two hundred fifty-six million, seven hundred sixty-six thousand, six hundred".