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116078339520 = 2635511213273
BaseRepresentation
bin110110000011011001…
…1101110010111000000
3102002121200212121200000
41230012303232113000
53400212023331040
6125154201400000
711246346414633
oct1540663562700
9362550777600
10116078339520
1145257218600
121a5b6499000
13ac3b894300
145892585c1a
153045a57130
hex1b06cee5c0

116078339520 has 1512 divisors, whose sum is σ = 499563621648. Its totient is φ = 25619742720.

The previous prime is 116078339483. The next prime is 116078339569. The reversal of 116078339520 is 25933870611.

116078339520 is a `hidden beast` number, since 1 + 1 + 607 + 8 + 3 + 39 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1590114204 + ... + 1590114276.

Almost surely, 2116078339520 is an apocalyptic number.

116078339520 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 116078339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249781810824).

116078339520 is an abundant number, since it is smaller than the sum of its proper divisors (383485282128).

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

116078339520 is a wasteful number, since it uses less digits than its factorization.

116078339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 116078339520 in words is "one hundred sixteen billion, seventy-eight million, three hundred thirty-nine thousand, five hundred twenty".