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22793687072 = 2513220532
BaseRepresentation
bin10101001110100111…
…000001000000100000
32011211112100021110022
4111032213001000200
5333140140441242
614245443453012
71434564100112
oct251647010040
964745307408
1022793687072
119737495512
124501687168
1321c3404600
1411633453b2
158d615a0d2
hex54e9c1020

22793687072 has 54 divisors (see below), whose sum is σ = 48616213527. Its totient is φ = 10515038976.

The previous prime is 22793687071. The next prime is 22793687087. The reversal of 22793687072 is 27078639722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3638019856 + 19155667216 = 60316^2 + 138404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106756.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22793687071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11101598 + ... + 11103650.

Almost surely, 222793687072 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 22793687072

22793687072 is an abundant number, since it is smaller than the sum of its proper divisors (25822526455).

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

22793687072 is an frugal number, since it uses more digits than its factorization.

22793687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 53.

The spelling of 22793687072 in words is "twenty-two billion, seven hundred ninety-three million, six hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2053 2704 4106 5408 8212 16424 26689 32848 53378 65696 106756 213512 346957 427024 693914 854048 1387828 2775656 4214809 5551312 8429618 11102624 16859236 33718472 54792517 67436944 109585034 134873888 219170068 438340136 712302721 876680272 1424605442 1753360544 2849210884 5698421768 11396843536 22793687072