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22748616648 = 2332420175209
BaseRepresentation
bin10101001011111011…
…000101011111001000
32011201101112110110100
4111023323011133020
5333042121213043
614241153445400
71433506023342
oct251373053710
964641473410
1022748616648
11971400142a
1244aa570860
1321b6c83c14
14115b372292
158d2205cd3
hex54bec57c8

22748616648 has 48 divisors (see below), whose sum is σ = 61626321900. Its totient is φ = 7580966400.

The previous prime is 22748616643. The next prime is 22748616673. The reversal of 22748616648 is 84661684722.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22747275684 + 1340964 = 150822^2 + 1158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22748616594 and 22748616603.

It is not an unprimeable number, because it can be changed into a prime (22748616641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264868 + ... + 340076.

Almost surely, 222748616648 is an apocalyptic number.

It is an amenable number.

22748616648 is an abundant number, since it is smaller than the sum of its proper divisors (38877705252).

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

22748616648 is a wasteful number, since it uses less digits than its factorization.

22748616648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79422 (or 79415 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 22748616648 in words is "twenty-two billion, seven hundred forty-eight million, six hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4201 8402 12603 16804 25206 33608 37809 50412 75209 75618 100824 150418 151236 225627 300836 302472 451254 601672 676881 902508 1353762 1805016 2707524 5415048 315953009 631906018 947859027 1263812036 1895718054 2527624072 2843577081 3791436108 5687154162 7582872216 11374308324 22748616648