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20853312642 = 23210123372
BaseRepresentation
bin10011011010111101…
…000100110010000010
31222211022012001010200
4103122331010302002
5320201422001032
613325130510030
71335523142601
oct233275046202
958738161120
1020853312642
118931173488
12405b895316
131c74405966
14101b76ba38
15820b2447c
hex4daf44c82

20853312642 has 54 divisors (see below), whose sum is σ = 45769769019. Its totient is φ = 6861859200.

The previous prime is 20853312619. The next prime is 20853312647. The reversal of 20853312642 is 24621335802.

20853312642 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 3 + 3 + 1 + 2 + 642 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 17090594361 + 3762718281 = 130731^2 + 61341^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=102111.

It is a junction number, because it is equal to n+sod(n) for n = 20853312597 and 20853312606.

It is not an unprimeable number, because it can be changed into a prime (20853312647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61879098 + ... + 61879434.

Almost surely, 220853312642 is an apocalyptic number.

20853312642 is an abundant number, since it is smaller than the sum of its proper divisors (24916456377).

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

20853312642 is an equidigital number, since it uses as much as digits as its factorization.

20853312642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20853312642 in words is "twenty billion, eight hundred fifty-three million, three hundred twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 337 606 674 909 1011 1818 2022 3033 6066 10201 20402 30603 34037 61206 68074 91809 102111 113569 183618 204222 227138 306333 340707 612666 681414 1022121 2044242 3437737 6875474 10313211 11470469 20626422 22940938 30939633 34411407 61879266 68822814 103234221 206468442 1158517369 2317034738 3475552107 6951104214 10426656321 20853312642