Search a number
-
+
23789052169 = 89217332
BaseRepresentation
bin10110001001111100…
…000010000100001001
32021101220022001200021
4112021330002010021
5342204444132134
614532321540441
71501341415141
oct261174020411
967356261607
1023789052169
11a0a8332aa3
12473aaa4721
1323216aac3c
141219607921
159437230b4
hex589f02109

23789052169 has 9 divisors (see below), whose sum is σ = 24073239253. Its totient is φ = 23508186592.

The previous prime is 23789052167. The next prime is 23789052179. The reversal of 23789052169 is 96125098732.

The square root of 23789052169 is 154237.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3400639225 + 20388412944 = 58315^2 + 142788^2 .

It is not a de Polignac number, because 23789052169 - 21 = 23789052167 is a prime.

It is a super-2 number, since 2×237890521692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23789052167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13726227 + ... + 13727959.

Almost surely, 223789052169 is an apocalyptic number.

23789052169 is the 154237-th square number.

23789052169 is the 77119-th centered octagonal number.

It is an amenable number.

23789052169 is a deficient number, since it is larger than the sum of its proper divisors (284187084).

23789052169 is an frugal number, since it uses more digits than its factorization.

23789052169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 23789052169 in words is "twenty-three billion, seven hundred eighty-nine million, fifty-two thousand, one hundred sixty-nine".

Divisors: 1 89 1733 7921 154237 3003289 13727093 267292721 23789052169