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14161093632 = 210327317397
BaseRepresentation
bin11010011000001000…
…10010010000000000
31100112220121002111100
431030010102100000
5213000214444012
610301105214400
71010632211160
oct151404222000
940486532440
1014161093632
116007628274
1228b2631400
131448ac335a
14984a4c5a0
1557d3548dc
hex34c112400

14161093632 has 528 divisors, whose sum is σ = 49403640832. Its totient is φ = 3822059520.

The previous prime is 14161093603. The next prime is 14161093649. The reversal of 14161093632 is 23639016141.

14161093632 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 10 + 9 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145990608 + ... + 145990704.

Almost surely, 214161093632 is an apocalyptic number.

14161093632 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 14161093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701820416).

14161093632 is an abundant number, since it is smaller than the sum of its proper divisors (35242547200).

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

14161093632 is a wasteful number, since it uses less digits than its factorization.

14161093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 14161093632 in words is "fourteen billion, one hundred sixty-one million, ninety-three thousand, six hundred thirty-two".