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117727373344 = 2572281267193
BaseRepresentation
bin110110110100100011…
…0010010100000100000
3102020212121211012210211
41231221012102200200
53412101201421334
6130025550103504
711335252106500
oct1555106224040
9366777735724
10117727373344
1145a23040079
121a9967aab94
13b142407779
1459ab5a1a00
1530e06dea64
hex1b69192820

117727373344 has 72 divisors (see below), whose sum is σ = 270577210428. Its totient is φ = 50274846720.

The previous prime is 117727373303. The next prime is 117727373437. The reversal of 117727373344 is 443373727711.

It can be written as a sum of positive squares in 2 ways, for example, as 107707363344 + 10020010000 = 328188^2 + 100100^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307012 + ... + 574204.

Almost surely, 2117727373344 is an apocalyptic number.

117727373344 is a gapful number since it is divisible by the number (14) 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 117727373344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135288605214).

117727373344 is an abundant number, since it is smaller than the sum of its proper divisors (152849837084).

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

117727373344 is a wasteful number, since it uses less digits than its factorization.

117727373344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267498 (or 267483 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 49.

The spelling of 117727373344 in words is "one hundred seventeen billion, seven hundred twenty-seven million, three hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 281 392 562 784 1124 1568 1967 2248 3934 4496 7868 8992 13769 15736 27538 31472 55076 62944 110152 220304 267193 440608 534386 1068772 1870351 2137544 3740702 4275088 7481404 8550176 13092457 14962808 26184914 29925616 52369828 59851232 75081233 104739656 150162466 209479312 300324932 418958624 525568631 600649864 1051137262 1201299728 2102274524 2402599456 3678980417 4204549048 7357960834 8409098096 14715921668 16818196192 29431843336 58863686672 117727373344