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23075736649 = 72217012
BaseRepresentation
bin10101011111011010…
…111100110001001001
32012120012001212201221
4111133122330301021
5334224342033044
614333441042041
71444560345100
oct253732746111
965505055657
1023075736649
119871719539
124580026321
132239988b54
14118c9a5037
15900cc0484
hex55f6bcc49

23075736649 has 9 divisors (see below), whose sum is σ = 26844440871. Its totient is φ = 19778291400.

The previous prime is 23075736647. The next prime is 23075736659. The reversal of 23075736649 is 94663757032.

The square root of 23075736649 is 151907.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20290008249 + 2785728400 = 142443^2 + 52780^2 .

It is not a de Polignac number, because 23075736649 - 21 = 23075736647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23075736596 and 23075736605.

It is not an unprimeable number, because it can be changed into a prime (23075736647) 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, 1052499 + ... + 1074199.

Almost surely, 223075736649 is an apocalyptic number.

23075736649 is the 151907-th square number.

23075736649 is the 75954-th centered octagonal number.

It is an amenable number.

23075736649 is a deficient number, since it is larger than the sum of its proper divisors (3768704222).

23075736649 is an frugal number, since it uses more digits than its factorization.

23075736649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43416 (or 21708 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 23075736649 in words is "twenty-three billion, seventy-five million, seven hundred thirty-six thousand, six hundred forty-nine".

Divisors: 1 7 49 21701 151907 1063349 470933401 3296533807 23075736649