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11987324160 = 283574173149
BaseRepresentation
bin10110010101000000…
…00000110100000000
31010221102021011100220
423022200000310000
5144022223333120
65301253543040
7603025400640
oct131240006400
933842234326
1011987324160
1150a1594079
1223a6644a80
131190647026
1481a07c520
154a25b9b40
hex2ca800d00

11987324160 has 576 divisors, whose sum is σ = 45739814400. Its totient is φ = 2618818560.

The previous prime is 11987324101. The next prime is 11987324179. The reversal of 11987324160 is 6142378911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80451766 + ... + 80451914.

It is an arithmetic number, because the mean of its divisors is an integer number (79409400).

Almost surely, 211987324160 is an apocalyptic number.

11987324160 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 11987324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869907200).

11987324160 is an abundant number, since it is smaller than the sum of its proper divisors (33752490240).

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

11987324160 is a wasteful number, since it uses less digits than its factorization.

11987324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 11987324160 in words is "eleven billion, nine hundred eighty-seven million, three hundred twenty-four thousand, one hundred sixty".