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20927985825240 = 233351317375361733
BaseRepresentation
bin1001100001000101011010…
…01010010011010111011000
32202002200210022111210221000
410300202231022103113120
510220341003332401430
6112302103422545000
74256665666261434
oct460425512232730
982080708453830
1020927985825240
11673956645261a
12241bb98138160
13b8a667a66a40
14524cc43839c4
152645b9278e60
hex1308ad2935d8

20927985825240 has 2048 divisors, whose sum is σ = 84716527795200. Its totient is φ = 4546339799040.

The previous prime is 20927985825199. The next prime is 20927985825247. The reversal of 20927985825240 is 4252858972902.

20927985825240 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 7 + 9 + 8 + 582 + 5 + 2 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20927985825247) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28551139914 + ... + 28551140646.

Almost surely, 220927985825240 is an apocalyptic number.

20927985825240 is a gapful number since it is divisible by the number (20) 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 20927985825240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42358263897600).

20927985825240 is an abundant number, since it is smaller than the sum of its proper divisors (63788541969960).

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

20927985825240 is a wasteful number, since it uses less digits than its factorization.

20927985825240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 20927985825240 in words is "twenty trillion, nine hundred twenty-seven billion, nine hundred eighty-five million, eight hundred twenty-five thousand, two hundred forty".