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116677579560 = 233519891015693
BaseRepresentation
bin110110010101010000…
…1101001001100101000
3102011011110110011110120
41230222201221030220
53402423430021220
6125333445243240
711300244030303
oct1545241511450
9364143404416
10116677579560
11455344a7503
121a743103520
13b005a85009
14590bdb1b3a
15307d474a40
hex1b2a869328

116677579560 has 256 divisors, whose sum is σ = 376350624000. Its totient is φ = 28851609600.

The previous prime is 116677579553. The next prime is 116677579567. The reversal of 116677579560 is 65975776611.

It is a Cunningham number, because it is equal to 3415812-1.

It is an interprime number because it is at equal distance from previous prime (116677579553) and next prime (116677579567).

It is a super-2 number, since 2×1166775795602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 116677579494 and 116677579503.

It is not an unprimeable number, because it can be changed into a prime (116677579567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20492074 + ... + 20497766.

It is an arithmetic number, because the mean of its divisors is an integer number (1470119625).

Almost surely, 2116677579560 is an apocalyptic number.

116677579560 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 116677579560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188175312000).

116677579560 is an abundant number, since it is smaller than the sum of its proper divisors (259673044440).

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

116677579560 is a wasteful number, since it uses less digits than its factorization.

116677579560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 60.

The spelling of 116677579560 in words is "one hundred sixteen billion, six hundred seventy-seven million, five hundred seventy-nine thousand, five hundred sixty".