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20972560544 = 251317191271229
BaseRepresentation
bin10011100010000011…
…111110000010100000
32000010121120110111122
4103202003332002200
5320422433414134
613345030431412
71341501552245
oct234203760240
960117513448
1020972560544
118992511171
124093802568
131c93028450
14102d52d5cc
1582b32c02e
hex4e20fe0a0

20972560544 has 192 divisors, whose sum is σ = 49990348800. Its totient is φ = 8555839488.

The previous prime is 20972560537. The next prime is 20972560559. The reversal of 20972560544 is 44506527902.

It is a junction number, because it is equal to n+sod(n) for n = 20972560495 and 20972560504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17064122 + ... + 17065350.

It is an arithmetic number, because the mean of its divisors is an integer number (260366400).

Almost surely, 220972560544 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 20972560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995174400).

20972560544 is an abundant number, since it is smaller than the sum of its proper divisors (29017788256).

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

20972560544 is a wasteful number, since it uses less digits than its factorization.

20972560544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 20972560544 in words is "twenty billion, nine hundred seventy-two million, five hundred sixty thousand, five hundred forty-four".