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116627205240 = 2334571319109191
BaseRepresentation
bin110110010011110000…
…1011110110001111000
3102011000221122212220000
41230213201132301320
53402323031031430
6125324445433000
711266062613350
oct1544741366170
9364027585800
10116627205240
1145509020537
121a72a26b760
13acc84c8420
14590541bb60
153078d23e60
hex1b2785ec78

116627205240 has 1280 divisors, whose sum is σ = 515192832000. Its totient is φ = 22977146880.

The previous prime is 116627205157. The next prime is 116627205257. The reversal of 116627205240 is 42502726611.

It is a happy number.

116627205240 is a `hidden beast` number, since 1 + 1 + 6 + 62 + 72 + 0 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116627205195 and 116627205204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 610613545 + ... + 610613735.

It is an arithmetic number, because the mean of its divisors is an integer number (402494400).

Almost surely, 2116627205240 is an apocalyptic number.

116627205240 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 116627205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257596416000).

116627205240 is an abundant number, since it is smaller than the sum of its proper divisors (398565626760).

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

116627205240 is a wasteful number, since it uses less digits than its factorization.

116627205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 116627205240 in words is "one hundred sixteen billion, six hundred twenty-seven million, two hundred five thousand, two hundred forty".