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117593246897280 = 2733571131634481
BaseRepresentation
bin11010101111001101001111…
…101101011001010010000000
3120102100210201120012122121000
4122233031033231121102000
5110403121432201203110
61054033331501132000
733524555165306010
oct3257151755312200
9512323646178530
10117593246897280
113451801a251000
121123243855a000
13507ccc34486cb
1421077875adc40
15d8dd0be851c0
hex6af34fb59480

117593246897280 has 2048 divisors, whose sum is σ = 526863589171200. Its totient is φ = 24279633100800.

The previous prime is 117593246897209. The next prime is 117593246897311. The reversal of 117593246897280 is 82798642395711.

117593246897280 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 93 + 2 + 468 + 9 + 72 + 8 + 0 = 666.

117593246897280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 117593246897199 and 117593246897208.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26242632640 + ... + 26242637120.

It is an arithmetic number, because the mean of its divisors is an integer number (257257611900).

It is a 3-persistent number, because k⋅117593246897280 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2117593246897280 is an apocalyptic number.

117593246897280 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 117593246897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263431794585600).

117593246897280 is an abundant number, since it is smaller than the sum of its proper divisors (409270342273920).

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

117593246897280 is a wasteful number, since it uses less digits than its factorization.

117593246897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 117593246897280 in words is "one hundred seventeen trillion, five hundred ninety-three billion, two hundred forty-six million, eight hundred ninety-seven thousand, two hundred eighty".