Search a number
-
+
23982548769 = 34172072
BaseRepresentation
bin10110010101011110…
…001010011100100001
32021220101101201010000
4112111132022130201
5343104013030034
615003433130213
71506211205154
oct262536123441
967811351100
1023982548769
11a197583943
124793859969
1323527c907a
1412371b5c9b
159556e5599
hex59578a721

23982548769 has 15 divisors (see below), whose sum is σ = 35827864897. Its totient is φ = 15987436668.

The previous prime is 23982548761. The next prime is 23982548783. The reversal of 23982548769 is 96784528932.

The square root of 23982548769 is 154863.

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

23982548769 is a `hidden beast` number, since 2 + 3 + 9 + 82 + 548 + 7 + 6 + 9 = 666.

It is not a de Polignac number, because 23982548769 - 23 = 23982548761 is a prime.

It is a super-2 number, since 2×239825487692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23982548761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1385164 + ... + 1402370.

Almost surely, 223982548769 is an apocalyptic number.

23982548769 is the 154863-rd square number.

23982548769 is the 77432-nd centered octagonal number.

It is an amenable number.

23982548769 is a deficient number, since it is larger than the sum of its proper divisors (11845316128).

23982548769 is an frugal number, since it uses more digits than its factorization.

23982548769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34426 (or 17210 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 23982548769 in words is "twenty-three billion, nine hundred eighty-two million, five hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 17207 51621 154863 464589 1393767 296080849 888242547 2664727641 7994182923 23982548769