Search a number
-
+
23298053769 = 328326132
BaseRepresentation
bin10101101100101011…
…000001011010001001
32020010200101202111100
4111230223001122021
5340203300210034
614411502052013
71453230122004
oct255453013211
966120352440
1023298053769
1199761646a1
12462257a009
132273a58143
1411b031653b
15915587099
hex56cac1689

23298053769 has 27 divisors (see below), whose sum is σ = 34118742567. Its totient is φ = 15319870416.

The previous prime is 23298053759. The next prime is 23298053777. The reversal of 23298053769 is 96735089232.

It is a happy number.

The square root of 23298053769 is 152637.

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

23298053769 is a `hidden beast` number, since 2 + 3 + 29 + 80 + 537 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75951225 + 23222102544 = 8715^2 + 152388^2 .

It is not a de Polignac number, because 23298053769 - 27 = 23298053641 is a prime.

It is a super-2 number, since 2×232980537692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23298053759) 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, 38006307 + ... + 38006919.

Almost surely, 223298053769 is an apocalyptic number.

23298053769 is the 152637-th square number.

23298053769 is the 76319-th centered octagonal number.

It is an amenable number.

23298053769 is a deficient number, since it is larger than the sum of its proper divisors (10820688798).

23298053769 is an frugal number, since it uses more digits than its factorization.

23298053769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 23298053769 in words is "twenty-three billion, two hundred ninety-eight million, fifty-three thousand, seven hundred sixty-nine".

Divisors: 1 3 9 83 249 613 747 1839 5517 6889 20667 50879 62001 152637 375769 457911 1127307 3381921 4222957 12668871 31188827 38006613 93566481 280699443 2588672641 7766017923 23298053769