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116679372480 = 2634511478707
BaseRepresentation
bin110110010101010100…
…0011110111011000000
3102011011120211020220000
41230222220132323000
53402424404404410
6125333551520000
711300265205416
oct1545250367300
9364146736800
10116679372480
1145535511560
121a743829000
13b006262108
14590c31b2b6
15307d6cadc0
hex1b2aa1eec0

116679372480 has 560 divisors, whose sum is σ = 462467529216. Its totient is φ = 27680901120.

The previous prime is 116679372443. The next prime is 116679372499. The reversal of 116679372480 is 84273976611.

116679372480 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 93 + 72 + 480 = 666.

It is a super-2 number, since 2×1166793724802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13396287 + ... + 13404993.

Almost surely, 2116679372480 is an apocalyptic number.

116679372480 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 116679372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231233764608).

116679372480 is an abundant number, since it is smaller than the sum of its proper divisors (345788156736).

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

116679372480 is a wasteful number, since it uses less digits than its factorization.

116679372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 116679372480 in words is "one hundred sixteen billion, six hundred seventy-nine million, three hundred seventy-two thousand, four hundred eighty".