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20853492624 = 24321011433821
BaseRepresentation
bin10011011010111101…
…110000101110010000
31222211022112012000200
4103122331300232100
5320201443230444
613325134415200
71335524522406
oct233275605620
958738465020
1020853492624
118931286728
12405b961500
131c74469863
14101b7b7476
15820b5c969
hex4daf70b90

20853492624 has 60 divisors (see below), whose sum is σ = 58938687132. Its totient is φ = 6882336000.

The previous prime is 20853492623. The next prime is 20853492749. The reversal of 20853492624 is 42629435802.

20853492624 is a `hidden beast` number, since 2 + 0 + 8 + 534 + 92 + 6 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19695315600 + 1158177024 = 140340^2 + 34032^2 .

It is a super-3 number, since 3×208534926243 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20853492624.

It is not an unprimeable number, because it can be changed into a prime (20853492623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702367 + ... + 731454.

Almost surely, 220853492624 is an apocalyptic number.

20853492624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20853492624 is an abundant number, since it is smaller than the sum of its proper divisors (38085194508).

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

20853492624 is a wasteful number, since it uses less digits than its factorization.

20853492624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433936 (or 1433927 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20853492624 in words is "twenty billion, eight hundred fifty-three million, four hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 1433821 2867642 4301463 5735284 8602926 11470568 12904389 17205852 22941136 25808778 34411704 51617556 68823408 103235112 144815921 206470224 289631842 434447763 579263684 868895526 1158527368 1303343289 1737791052 2317054736 2606686578 3475582104 5213373156 6951164208 10426746312 20853492624