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117483468480 = 26325714873919
BaseRepresentation
bin110110101101010001…
…1110111011011000000
3102020020121212120020100
41231122203313123000
53411101231442410
6125545434242400
711326231001550
oct1553243673300
9366217776210
10117483468480
114590839a804
121a928b86400
13b103a1a471
145987031160
1530c90b18c0
hex1b5a8f76c0

117483468480 has 336 divisors, whose sum is σ = 462250414080. Its totient is φ = 26828457984.

The previous prime is 117483468383. The next prime is 117483468481. The reversal of 117483468480 is 84864384711.

117483468480 is a `hidden beast` number, since 1 + 1 + 7 + 483 + 4 + 6 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (117483468481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29975961 + ... + 29979879.

It is an arithmetic number, because the mean of its divisors is an integer number (1375745280).

Almost surely, 2117483468480 is an apocalyptic number.

117483468480 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 117483468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231125207040).

117483468480 is an abundant number, since it is smaller than the sum of its proper divisors (344766945600).

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

117483468480 is a wasteful number, since it uses less digits than its factorization.

117483468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 117483468480 in words is "one hundred seventeen billion, four hundred eighty-three million, four hundred sixty-eight thousand, four hundred eighty".