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117879392378880 = 213375111731227
BaseRepresentation
bin11010110011010111101111…
…010011110010000000000000
3120110101011022112102020000000
4122303113233103302000000
5110422313443422111010
61054413013440000000
733554335142623416
oct3263275723620000
9513334275366000
10117879392378880
11346184079855a0
1211279996000000
1350a0c95b44822
1421175706a92b6
15d964a819b7c0
hex6b35ef4f2000

117879392378880 has 3584 divisors, whose sum is σ = 508109250723840. Its totient is φ = 25913563545600.

The previous prime is 117879392378791. The next prime is 117879392378899. The reversal of 117879392378880 is 88873293978711.

117879392378880 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 79 + 392 + 3 + 7 + 88 + 80 = 666.

It is a super-2 number, since 2×1178793923788802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 117879392378880.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 519292477327 + ... + 519292477553.

Almost surely, 2117879392378880 is an apocalyptic number.

117879392378880 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 117879392378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254054625361920).

117879392378880 is an abundant number, since it is smaller than the sum of its proper divisors (390229858344960).

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

117879392378880 is an equidigital number, since it uses as much as digits as its factorization.

117879392378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 81.

The spelling of 117879392378880 in words is "one hundred seventeen trillion, eight hundred seventy-nine billion, three hundred ninety-two million, three hundred seventy-eight thousand, eight hundred eighty".