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20142245952 = 2632192380021
BaseRepresentation
bin10010110000100100…
…100100100001000000
31220222202012010000100
4102300210210201000
5312222403332302
613130410122400
71312100160063
oct226044444100
956882163010
1020142245952
1185a6855564
123aa1720400
131b8ccc033a
14d911528da
157cd4b7d1c
hex4b0924840

20142245952 has 168 divisors, whose sum is σ = 63415834560. Its totient is φ = 6084080640.

The previous prime is 20142245927. The next prime is 20142245953. The reversal of 20142245952 is 25954224102.

20142245952 is a `hidden beast` number, since 2 + 0 + 1 + 42 + 24 + 595 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20142245953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211702 + ... + 291722.

Almost surely, 220142245952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707917280).

20142245952 is an abundant number, since it is smaller than the sum of its proper divisors (43273588608).

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

20142245952 is a wasteful number, since it uses less digits than its factorization.

20142245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80081 (or 80068 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20142245952 in words is "twenty billion, one hundred forty-two million, two hundred forty-five thousand, nine hundred fifty-two".