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113378478080 = 2115717195983
BaseRepresentation
bin110100110010111100…
…0100100100000000000
3101211122112121110000212
41221211320210200000
53324144342244310
6124030234133252
711122424106530
oct1514570444000
9354575543025
10113378478080
11440a121675a
1219b82281228
13a8cb42896a
1456b7b8b4c0
152e389ed205
hex1a65e24800

113378478080 has 768 divisors, whose sum is σ = 356638464000. Its totient is φ = 33662435328.

The previous prime is 113378478079. The next prime is 113378478211. The reversal of 113378478080 is 80874873311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1366005719 + ... + 1366005801.

It is an arithmetic number, because the mean of its divisors is an integer number (464373000).

Almost surely, 2113378478080 is an apocalyptic number.

113378478080 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 113378478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232000).

113378478080 is an abundant number, since it is smaller than the sum of its proper divisors (243259985920).

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

113378478080 is a wasteful number, since it uses less digits than its factorization.

113378478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 113378478080 in words is "one hundred thirteen billion, three hundred seventy-eight million, four hundred seventy-eight thousand, eighty".