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116924997873600 = 26335272294094657
BaseRepresentation
bin11010100101011110111000…
…111101101010111111000000
3120022222220212010202222012000
4122211132320331222333000
5110311144343423423400
61052402334045304000
733425360306315400
oct3245367075527700
9508886763688160
10116924997873600
113428a682086904
1211144a21265000
135031c9805aa27
1420c32b30a8800
15d7b74a5c9600
hex6a57b8f6afc0

116924997873600 has 2016 divisors, whose sum is σ = 514286184024000. Its totient is φ = 25735519272960.

The previous prime is 116924997873587. The next prime is 116924997873653. The reversal of 116924997873600 is 6378799429611.

116924997873600 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 2 + 4 + 9 + 9 + 7 + 8 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25107362472 + ... + 25107367128.

Almost surely, 2116924997873600 is an apocalyptic number.

116924997873600 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 116924997873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257143092012000).

116924997873600 is an abundant number, since it is smaller than the sum of its proper divisors (397361186150400).

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

116924997873600 is a wasteful number, since it uses less digits than its factorization.

116924997873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 116924997873600 in words is "one hundred sixteen trillion, nine hundred twenty-four billion, nine hundred ninety-seven million, eight hundred seventy-three thousand, six hundred".