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116125878000 = 2435311217972
BaseRepresentation
bin110110000100110100…
…1000100011011110000
3102002202000022211012110
41230021221010123300
53400311211044000
6125203020325320
711250464451036
oct1541151043360
9362660284173
10116125878000
1145281037a00
121a60a3a3840
13ac4869a1a2
1458989dc556
153049ce7850
hex1b09a446f0

116125878000 has 720 divisors, whose sum is σ = 440264758752. Its totient is φ = 26222592000.

The previous prime is 116125877999. The next prime is 116125878007. The reversal of 116125878000 is 878521611.

It is a super-4 number, since 4×1161258780004 (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116125878000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116125878007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1197173952 + ... + 1197174048.

Almost surely, 2116125878000 is an apocalyptic number.

116125878000 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 116125878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220132379376).

116125878000 is an abundant number, since it is smaller than the sum of its proper divisors (324138880752).

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

116125878000 is a wasteful number, since it uses less digits than its factorization.

116125878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 116125878000 in words is "one hundred sixteen billion, one hundred twenty-five million, eight hundred seventy-eight thousand".