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117654025216 = 210713331241
BaseRepresentation
bin110110110010010111…
…0011111010000000000
3102020200111210202002111
41231210232133100000
53411423412301331
6130014410025104
711333401466530
oct1554456372000
9366614722074
10117654025216
11459956a2592
121a976118194
13b130166000
1459a194b4c0
1530d9051db1
hex1b64b9f400

117654025216 has 352 divisors, whose sum is σ = 301821470720. Its totient is φ = 44856115200.

The previous prime is 117654025189. The next prime is 117654025217. The reversal of 117654025216 is 612520456711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117654025217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488190856 + ... + 488191096.

It is an arithmetic number, because the mean of its divisors is an integer number (857447360).

Almost surely, 2117654025216 is an apocalyptic number.

117654025216 is a gapful number since it is divisible by the number (16) 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 117654025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150910735360).

117654025216 is an abundant number, since it is smaller than the sum of its proper divisors (184167445504).

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

117654025216 is an equidigital number, since it uses as much as digits as its factorization.

117654025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 117654025216 in words is "one hundred seventeen billion, six hundred fifty-four million, twenty-five thousand, two hundred sixteen".