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20897265168 = 2435133113337
BaseRepresentation
bin10011011101100100…
…101111011000010000
31222221100220001200000
4103131210233120100
5320244144441133
613333340530000
71336565552223
oct233544573020
958840801600
1020897265168
118953a6368a
124072550900
131c80554580
14102352d5ba
15824907413
hex4dd92f610

20897265168 has 240 divisors, whose sum is σ = 67426684416. Its totient is φ = 6222044160.

The previous prime is 20897265167. The next prime is 20897265223. The reversal of 20897265168 is 86156279802.

20897265168 is a `hidden beast` number, since 20 + 89 + 7 + 26 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20897265167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1560196 + ... + 1573532.

Almost surely, 220897265168 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 20897265168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33713342208).

20897265168 is an abundant number, since it is smaller than the sum of its proper divisors (46529419248).

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

20897265168 is a wasteful number, since it uses less digits than its factorization.

20897265168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20897265168 in words is "twenty billion, eight hundred ninety-seven million, two hundred sixty-five thousand, one hundred sixty-eight".