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116630260992 = 2833723741227
BaseRepresentation
bin110110010011110110…
…1001000110100000000
3102011001011102010121000
41230213231020310000
53402324321322432
6125325035132000
711266130601300
oct1544755106400
9364034363530
10116630260992
114550a818353
121a72b2a4000
13acc902826b
1459059b5600
15307922957c
hex1b27b48d00

116630260992 has 864 divisors, whose sum is σ = 423958631040. Its totient is φ = 31492177920.

The previous prime is 116630260969. The next prime is 116630260997. The reversal of 116630260992 is 299062036611.

116630260992 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 30 + 2 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116630260997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513789583 + ... + 513789809.

It is an arithmetic number, because the mean of its divisors is an integer number (490692860).

Almost surely, 2116630260992 is an apocalyptic number.

116630260992 is a gapful number since it is divisible by the number (12) 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 116630260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211979315520).

116630260992 is an abundant number, since it is smaller than the sum of its proper divisors (307328370048).

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

116630260992 is a wasteful number, since it uses less digits than its factorization.

116630260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 116630260992 in words is "one hundred sixteen billion, six hundred thirty million, two hundred sixty thousand, nine hundred ninety-two".