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117418194432 = 2933711472347
BaseRepresentation
bin110110101011010101…
…0110111011000000000
3102020002002001022002000
41231112222313120000
53410433024210212
6125535143224000
711324506120320
oct1552652673000
9366062038060
10117418194432
1145884567410
121a90b148000
13b0c3344a76
14597c4bd280
1530c34bb1dc
hex1b56ab7600

117418194432 has 640 divisors, whose sum is σ = 442737377280. Its totient is φ = 29836615680.

The previous prime is 117418194409. The next prime is 117418194457. The reversal of 117418194432 is 234491814711.

117418194432 is a `hidden beast` number, since 1 + 1 + 7 + 418 + 194 + 43 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50027883 + ... + 50030229.

It is an arithmetic number, because the mean of its divisors is an integer number (691777152).

Almost surely, 2117418194432 is an apocalyptic number.

117418194432 is a gapful number since it is divisible by the number (12) 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 117418194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221368688640).

117418194432 is an abundant number, since it is smaller than the sum of its proper divisors (325319182848).

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

117418194432 is a wasteful number, since it uses less digits than its factorization.

117418194432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2417 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 117418194432 in words is "one hundred seventeen billion, four hundred eighteen million, one hundred ninety-four thousand, four hundred thirty-two".