Search a number
-
+
23792754001 = 73221132
BaseRepresentation
bin10110001010001010…
…001001110101010001
32021102011021010122011
4112022022021311101
5342211421112001
614532533142521
71501415033512
oct261212116521
967364233564
1023792754001
11a0aa431265
12474018aa41
1323223a5b83
141219ccca09
15943c04d51
hex58a289d51

23792754001 has 9 divisors (see below), whose sum is σ = 24134568849. Its totient is φ = 23455719936.

The previous prime is 23792753987. The next prime is 23792754017. The reversal of 23792754001 is 10045729732.

The square root of 23792754001 is 154249.

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 9565035601 + 14227718400 = 97801^2 + 119280^2 .

It is not a de Polignac number, because 23792754001 - 221 = 23790656849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23792754031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11259121 + ... + 11261233.

It is an arithmetic number, because the mean of its divisors is an integer number (2681618761).

Almost surely, 223792754001 is an apocalyptic number.

23792754001 is the 154249-th square number.

23792754001 is the 77125-th centered octagonal number.

It is an amenable number.

23792754001 is a deficient number, since it is larger than the sum of its proper divisors (341814848).

23792754001 is an frugal number, since it uses more digits than its factorization.

23792754001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 23792754001 in words is "twenty-three billion, seven hundred ninety-two million, seven hundred fifty-four thousand, one".

Divisors: 1 73 2113 5329 154249 4464769 11260177 325928137 23792754001