Search a number
-
+
23265322356232 = 2311171953127277439
BaseRepresentation
bin1010100101000111000010…
…10001100100111000001000
310001101010212022112222112101
411102203201101210320020
511022134340010344412
6121251535212323144
74620602243056165
oct522434121447010
9101333768488471
1023265322356232
11745a849a42a90
122738b854734b4
13cc9bab4463a8
145a60948dd06c
152a52b7681457
hex1528e1464e08

23265322356232 has 512 divisors, whose sum is σ = 54786834432000. Its totient is φ = 9124510187520.

The previous prime is 23265322356223. The next prime is 23265322356253.

23265322356232 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 52996178269 + ... + 52996178707.

It is an arithmetic number, because the mean of its divisors is an integer number (107005536000).

Almost surely, 223265322356232 is an apocalyptic number.

23265322356232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23265322356232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27393417216000).

23265322356232 is an abundant number, since it is smaller than the sum of its proper divisors (31521512075768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23265322356232 is a wasteful number, since it uses less digits than its factorization.

23265322356232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

The spelling of 23265322356232 in words is "twenty-three trillion, two hundred sixty-five billion, three hundred twenty-two million, three hundred fifty-six thousand, two hundred thirty-two".