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117351072436900 = 225210832872
BaseRepresentation
bin11010101011101011101100…
…111111001001001010100100
3120101111122122000020101201111
4122223223230333021022210
5110340134444020440100
61053330201034034404
733501222654332401
oct3253535477111244
9511448560211644
10117351072436900
1134434346066575
12111b3510878a04
13506320a718343
1420d9b722112a8
15d878861a46ba
hex6abaecfc92a4

117351072436900 has 27 divisors (see below), whose sum is σ = 254652062261569. Its totient is φ = 46940385643280.

The previous prime is 117351072436883. The next prime is 117351072436901. The reversal of 117351072436900 is 9634270153711.

The square root of 117351072436900 is 10832870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42246386077284 + 75104686359616 = 6499722^2 + 8666296^2 .

It is a super-2 number, since 2×1173510724369002 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117351072436901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107787057 + ... + 108870343.

Almost surely, 2117351072436900 is an apocalyptic number.

117351072436900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117351072436900 is the 10832870-th square number.

It is an amenable number.

117351072436900 is an abundant number, since it is smaller than the sum of its proper divisors (137300989824669).

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

117351072436900 is an frugal number, since it uses more digits than its factorization.

117351072436900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166588 (or 1083294 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 117351072436900 in words is "one hundred seventeen trillion, three hundred fifty-one billion, seventy-two million, four hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1083287 2166574 4333148 5416435 10832870 21665740 27082175 54164350 108328700 1173510724369 2347021448738 4694042897476 5867553621845 11735107243690 23470214487380 29337768109225 58675536218450 117351072436900