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117621504000 = 21133537111317
BaseRepresentation
bin110110110001011001…
…0011011100000000000
3102020121020121111101000
41231202302123200000
53411342101112000
6130011245012000
711332525200510
oct1554262334000
9366536544330
10117621504000
11459792aa950
121a967254000
13b1264ba5a0
14599b4c3840
1530d627b000
hex1b62c9b800

117621504000 has 3072 divisors, whose sum is σ = 618173337600. Its totient is φ = 21233664000.

The previous prime is 117621503969. The next prime is 117621504029. The reversal of 117621504000 is 405126711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6918911992 + ... + 6918912008.

It is an arithmetic number, because the mean of its divisors is an integer number (201228300).

Almost surely, 2117621504000 is an apocalyptic number.

117621504000 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 117621504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309086668800).

117621504000 is an abundant number, since it is smaller than the sum of its proper divisors (500551833600).

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

117621504000 is a wasteful number, since it uses less digits than its factorization.

117621504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 117621504000 in words is "one hundred seventeen billion, six hundred twenty-one million, five hundred four thousand".