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117184972320 = 25335136179433
BaseRepresentation
bin110110100100011000…
…1001100011000100000
3102012110211012101111000
41231020301030120200
53404443323103240
6125500052352000
711315644554423
oct1551061143040
9365424171430
10117184972320
1145774953169
121a865015600
13b086c28010
14595952d9ba
1530acc9d430
hex1b48c4c620

117184972320 has 768 divisors, whose sum is σ = 455670835200. Its totient is φ = 27948810240.

The previous prime is 117184972313. The next prime is 117184972361. The reversal of 117184972320 is 23279481711.

117184972320 is a `hidden beast` number, since 117 + 1 + 8 + 497 + 23 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270634824 + ... + 270635256.

It is an arithmetic number, because the mean of its divisors is an integer number (593321400).

Almost surely, 2117184972320 is an apocalyptic number.

117184972320 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 117184972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227835417600).

117184972320 is an abundant number, since it is smaller than the sum of its proper divisors (338485862880).

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

117184972320 is a wasteful number, since it uses less digits than its factorization.

117184972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 117184972320 in words is "one hundred seventeen billion, one hundred eighty-four million, nine hundred seventy-two thousand, three hundred twenty".