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116567538048 = 2734134718401
BaseRepresentation
bin110110010001111110…
…1110111100110000000
3102010212210101110220000
41230203331313212000
53402212242204143
6125314514520000
711264436503463
oct1544375674600
9363783343800
10116567538048
1145488377705
121a712296000
13acb9036ab0
1458db5292da
153073989bd3
hex1b23f77980

116567538048 has 320 divisors, whose sum is σ = 381557373120. Its totient is φ = 35101900800.

The previous prime is 116567538023. The next prime is 116567538071. The reversal of 116567538048 is 840835765611.

It is a happy number.

116567538048 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 67 + 538 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116567537985 and 116567538003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6325648 + ... + 6344048.

It is an arithmetic number, because the mean of its divisors is an integer number (1192366791).

Almost surely, 2116567538048 is an apocalyptic number.

116567538048 is a gapful number since it is divisible by the number (18) 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 116567538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190778686560).

116567538048 is an abundant number, since it is smaller than the sum of its proper divisors (264989835072).

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

116567538048 is a wasteful number, since it uses less digits than its factorization.

116567538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 116567538048 in words is "one hundred sixteen billion, five hundred sixty-seven million, five hundred thirty-eight thousand, forty-eight".