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20430888192 = 2832111362011
BaseRepresentation
bin10011000001110001…
…101001110100000000
31221201212022122201200
4103001301221310000
5313320301410232
613215200501200
71322203453461
oct230161516400
957655278650
1020430888192
118734781770
123b6231a800
131c07a42570
14dbb60ad68
157e89d177c
hex4c1c69d00

20430888192 has 216 divisors, whose sum is σ = 69206880288. Its totient is φ = 5714841600.

The previous prime is 20430888187. The next prime is 20430888193. The reversal of 20430888192 is 29188803402.

20430888192 is a `hidden beast` number, since 20 + 430 + 8 + 8 + 8 + 192 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430888193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298467 + ... + 360477.

Almost surely, 220430888192 is an apocalyptic number.

20430888192 is a gapful number since it is divisible by the number (22) 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 20430888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34603440144).

20430888192 is an abundant number, since it is smaller than the sum of its proper divisors (48775992096).

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

20430888192 is a wasteful number, since it uses less digits than its factorization.

20430888192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62057 (or 62040 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20430888192 in words is "twenty billion, four hundred thirty million, eight hundred eighty-eight thousand, one hundred ninety-two".