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117935470440 = 2332529106310627
BaseRepresentation
bin110110111010110000…
…0000111011101101000
3102021102010101122100200
41231311200013131220
53413012440023230
6130102342232200
711343356646534
oct1556540073550
9367363348320
10117935470440
114601a553547
121aa34425660
13b176568448
1459cb090bc4
153103ae8160
hex1b75807768

117935470440 has 192 divisors, whose sum is σ = 396917539200. Its totient is φ = 30333574656.

The previous prime is 117935470409. The next prime is 117935470451. The reversal of 117935470440 is 44074539711.

It is a happy number.

117935470440 is a `hidden beast` number, since 1 + 1 + 7 + 93 + 54 + 70 + 440 = 666.

It is a super-2 number, since 2×1179354704402 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11092407 + ... + 11103033.

It is an arithmetic number, because the mean of its divisors is an integer number (2067278850).

Almost surely, 2117935470440 is an apocalyptic number.

117935470440 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 117935470440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198458769600).

117935470440 is an abundant number, since it is smaller than the sum of its proper divisors (278982068760).

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

117935470440 is a wasteful number, since it uses less digits than its factorization.

117935470440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 117935470440 in words is "one hundred seventeen billion, nine hundred thirty-five million, four hundred seventy thousand, four hundred forty".