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117928452096000 = 2163653721331
BaseRepresentation
bin11010110100000101011011…
…011111110000000000000000
3120110112211221120221002000000
4122310011123133300000000
5110424114432214033000
61054451325532000000
733561022656423600
oct3264053337600000
9513484846832000
10117928452096000
11346371a2902157
12112873a8000000
1350a57b3b55640
142119aa6194c00
15d978ca209000
hex6b415b7f0000

117928452096000 has 5712 divisors, whose sum is σ = 570695230280448. Its totient is φ = 24078974976000.

The previous prime is 117928452095959. The next prime is 117928452096053. The reversal of 117928452096000 is 690254829711.

It is a happy number.

117928452096000 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 2 + 8 + 4 + 5 + 20 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3804143615985 + ... + 3804143616015.

Almost surely, 2117928452096000 is an apocalyptic number.

117928452096000 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 117928452096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285347615140224).

117928452096000 is an abundant number, since it is smaller than the sum of its proper divisors (452766778184448).

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

117928452096000 is an frugal number, since it uses more digits than its factorization.

117928452096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 117928452096000 in words is "one hundred seventeen trillion, nine hundred twenty-eight billion, four hundred fifty-two million, ninety-six thousand".