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23292613344 = 253721113311117
BaseRepresentation
bin10101101100010110…
…010001001011100000
32020010022011100122010
4111230112101023200
5340200402111334
614411145312520
71453132642500
oct255426211340
966108140563
1023292613344
119973089180
124620795740
1322728a1a60
1411ad6dba00
15914d600e9
hex56c5912e0

23292613344 has 576 divisors, whose sum is σ = 86332925952. Its totient is φ = 5399654400.

The previous prime is 23292613343. The next prime is 23292613387. The reversal of 23292613344 is 44331629232.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23292613343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20852274 + ... + 20853390.

It is an arithmetic number, because the mean of its divisors is an integer number (149883552).

Almost surely, 223292613344 is an apocalyptic number.

23292613344 is a gapful number since it is divisible by the number (24) 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 23292613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43166462976).

23292613344 is an abundant number, since it is smaller than the sum of its proper divisors (63040312608).

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

23292613344 is a wasteful number, since it uses less digits than its factorization.

23292613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1184 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

It can be divided in two parts, 23292 and 613344, that added together give a palindrome (636636).

The spelling of 23292613344 in words is "twenty-three billion, two hundred ninety-two million, six hundred thirteen thousand, three hundred forty-four".