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16285117632 = 263717241927
BaseRepresentation
bin11110010101010101…
…10010110011000000
31120000221022200122220
433022222302303000
5231322442231012
611251542331040
71114363134030
oct171252626300
946027280586
1016285117632
1169a7584a03
1231a5a29a80
1316c6b730a4
14b06b8d8c0
15654a6508c
hex3caab2cc0

16285117632 has 168 divisors, whose sum is σ = 52311385344. Its totient is φ = 4379086848.

The previous prime is 16285117609. The next prime is 16285117657. The reversal of 16285117632 is 23671158261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367453 + ... + 409379.

Almost surely, 216285117632 is an apocalyptic number.

16285117632 is a gapful number since it is divisible by the number (12) 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 16285117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26155692672).

16285117632 is an abundant number, since it is smaller than the sum of its proper divisors (36026267712).

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

16285117632 is a wasteful number, since it uses less digits than its factorization.

16285117632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41983 (or 41956 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 16285117632 in words is "sixteen billion, two hundred eighty-five million, one hundred seventeen thousand, six hundred thirty-two".