Search a number
-
+
23949729049 = 432592612
BaseRepresentation
bin10110010011100000…
…111101110100011001
32021211002122021220211
4112103200331310121
5343022112312144
615000301451121
71505332223641
oct262340756431
967732567824
1023949729049
11a17aaa7a04
124784870aa1
132348a7780c
141232ab1521
159528b1034
hex59383dd19

23949729049 has 27 divisors (see below), whose sum is σ = 25357876479. Its totient is φ = 22619283120.

The previous prime is 23949729043. The next prime is 23949729071. The reversal of 23949729049 is 94092794932.

The square root of 23949729049 is 154757.

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., 778800649 + 23170928400 = 27907^2 + 152220^2 .

It is not a de Polignac number, because 23949729049 - 27 = 23949728921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23949728984 and 23949729002.

It is not an unprimeable number, because it can be changed into a prime (23949729043) 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, 392618479 + ... + 392618539.

Almost surely, 223949729049 is an apocalyptic number.

23949729049 is the 154757-th square number.

23949729049 is the 77379-th centered octagonal number.

It is an amenable number.

23949729049 is a deficient number, since it is larger than the sum of its proper divisors (1408147430).

23949729049 is an frugal number, since it uses more digits than its factorization.

23949729049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 23949729049 in words is "twenty-three billion, nine hundred forty-nine million, seven hundred twenty-nine thousand, forty-nine".

Divisors: 1 43 59 61 1849 2537 2623 3481 3599 3721 109091 112789 149683 154757 160003 212341 219539 6436369 6654551 6880129 9130663 9440177 12952801 392618509 405927611 556970443 23949729049