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117793297440 = 253557133197
BaseRepresentation
bin110110110110100000…
…1110001010000100000
3102021001012212111200000
41231231001301100200
53412220041004230
6130040303100000
711340012336150
oct1555501612040
9367035774600
10117793297440
1145a572778a5
121a9b48a1600
13b152c7a000
1459b6242760
1530e63b2b60
hex1b6d071420

117793297440 has 1152 divisors, whose sum is σ = 518710832640. Its totient is φ = 24726933504.

The previous prime is 117793297411. The next prime is 117793297451. The reversal of 117793297440 is 44792397711.

It is a happy number.

117793297440 is a `hidden beast` number, since 1 + 17 + 79 + 32 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 597935422 + ... + 597935618.

It is an arithmetic number, because the mean of its divisors is an integer number (450269820).

Almost surely, 2117793297440 is an apocalyptic number.

117793297440 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 117793297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259355416320).

117793297440 is an abundant number, since it is smaller than the sum of its proper divisors (400917535200).

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

117793297440 is an equidigital number, since it uses as much as digits as its factorization.

117793297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 117793297440 in words is "one hundred seventeen billion, seven hundred ninety-three million, two hundred ninety-seven thousand, four hundred forty".