Search a number
-
+
23503649481 = 3213239312
BaseRepresentation
bin10101111000111011…
…010011101011001001
32020200000021002210100
4111320323103223021
5341113413240411
614444124440013
71461304503264
oct257073235311
966600232710
1023503649481
119a71219804
12467b3a9009
1322a7521400
1411cd753cdb
15928649456
hex578ed3ac9

23503649481 has 27 divisors (see below), whose sum is σ = 36771472647. Its totient is φ = 14460104880.

The previous prime is 23503649447. The next prime is 23503649531. The reversal of 23503649481 is 18494630532.

The square root of 23503649481 is 153309.

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

23503649481 is a `hidden beast` number, since 2 + 3 + 50 + 36 + 494 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3476871225 + 20026778256 = 58965^2 + 141516^2 .

It is a de Polignac number, because none of the positive numbers 2k-23503649481 is a prime.

It is a super-2 number, since 2×235036494812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23503649441) 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, 5977086 + ... + 5981016.

Almost surely, 223503649481 is an apocalyptic number.

23503649481 is the 153309-th square number.

23503649481 is the 76655-th centered octagonal number.

It is an amenable number.

23503649481 is a deficient number, since it is larger than the sum of its proper divisors (13267823166).

23503649481 is an frugal number, since it uses more digits than its factorization.

23503649481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23503649481 in words is "twenty-three billion, five hundred three million, six hundred forty-nine thousand, four hundred eighty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 3931 11793 35379 51103 153309 459927 664339 1993017 5979051 15452761 46358283 139074849 200885893 602657679 1807973037 2611516609 7834549827 23503649481