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117482882400 = 2532521319312131
BaseRepresentation
bin110110101101010000…
…1101000010101100000
3102020020120202210021200
41231122201220111200
53411101104214100
6125545413521200
711326223011062
oct1553241502540
9366216683250
10117482882400
114590802a444
121a928943200
13b103873780
145986d1b732
1530c8ee7e00
hex1b5a868560

117482882400 has 864 divisors, whose sum is σ = 484998958080. Its totient is φ = 26500608000.

The previous prime is 117482882399. The next prime is 117482882401. The reversal of 117482882400 is 4288284711.

It is an interprime number because it is at equal distance from previous prime (117482882399) and next prime (117482882401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117482882401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55129335 + ... + 55131465.

Almost surely, 2117482882400 is an apocalyptic number.

117482882400 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 117482882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242499479040).

117482882400 is an abundant number, since it is smaller than the sum of its proper divisors (367516075680).

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

117482882400 is a wasteful number, since it uses less digits than its factorization.

117482882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 117482882400 in words is "one hundred seventeen billion, four hundred eighty-two million, eight hundred eighty-two thousand, four hundred".