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23297826552 = 2337211133141109
BaseRepresentation
bin10101101100101010…
…001001111011111000
32020010122222012210220
4111230222021323320
5340203220422202
614411453140040
71453225154400
oct255452117370
966118865726
1023297826552
119976019a10
12462248a620
1322739a88b0
1411b0297800
1591553eabc
hex56ca89ef8

23297826552 has 768 divisors, whose sum is σ = 84942950400. Its totient is φ = 5225472000.

The previous prime is 23297826551. The next prime is 23297826571. The reversal of 23297826552 is 25562879232.

It is a junction number, because it is equal to n+sod(n) for n = 23297826495 and 23297826504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23297826551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213741474 + ... + 213741582.

It is an arithmetic number, because the mean of its divisors is an integer number (110602800).

Almost surely, 223297826552 is an apocalyptic number.

23297826552 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 23297826552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471475200).

23297826552 is an abundant number, since it is smaller than the sum of its proper divisors (61645123848).

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

23297826552 is a wasteful number, since it uses less digits than its factorization.

23297826552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 23297826552 in words is "twenty-three billion, two hundred ninety-seven million, eight hundred twenty-six thousand, five hundred fifty-two".