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23151752649 = 326727572
BaseRepresentation
bin10101100011111100…
…111011010111001001
32012202111002220002100
4111203330323113021
5334403322041044
614345154224013
71446502436064
oct254374732711
965674086070
1023151752649
119900619483
1245a1585009
13224c652a2c
141198b118db
159077d8869
hex563f3b5c9

23151752649 has 27 divisors (see below), whose sum is σ = 33992900487. Its totient is φ = 15184051344.

The previous prime is 23151752647. The next prime is 23151752653. The reversal of 23151752649 is 94625715132.

The square root of 23151752649 is 152157.

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

23151752649 is a `hidden beast` number, since 2 + 31 + 51 + 7 + 526 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14302964025 + 8848788624 = 119595^2 + 94068^2 .

It is not a de Polignac number, because 23151752649 - 21 = 23151752647 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23151752641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30583179 + ... + 30583935.

Almost surely, 223151752649 is an apocalyptic number.

23151752649 is the 152157-th square number.

23151752649 is the 76079-th centered octagonal number.

It is an amenable number.

23151752649 is a deficient number, since it is larger than the sum of its proper divisors (10841147838).

23151752649 is an frugal number, since it uses more digits than its factorization.

23151752649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 827 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 23151752649 in words is "twenty-three billion, one hundred fifty-one million, seven hundred fifty-two thousand, six hundred forty-nine".

Divisors: 1 3 9 67 201 603 757 2271 4489 6813 13467 40401 50719 152157 456471 573049 1719147 3398173 5157441 10194519 30583557 38394283 115182849 345548547 2572416961 7717250883 23151752649