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23992848000 = 27365311217
BaseRepresentation
bin10110010110000101…
…011100111010000000
32021221002202222000000
4112112011130322000
5343114132114000
615004442000000
71506364562112
oct262605347200
967832688000
1023992848000
11a1a2378900
1247971a6000
132354993ba4
1412386d73b2
1595657c000
hex59615ce80

23992848000 has 1344 divisors, whose sum is σ = 104090018760. Its totient is φ = 5474304000.

The previous prime is 23992847981. The next prime is 23992848007. The reversal of 23992848000 is 84829932.

It can be written as a sum of positive squares in 4 ways, for example, as 10438300224 + 13554547776 = 102168^2 + 116424^2 .

It is a super-2 number, since 2×239928480002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23992848007) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1411343992 + ... + 1411344008.

Almost surely, 223992848000 is an apocalyptic number.

23992848000 is a gapful number since it is divisible by the number (20) 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 23992848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52045009380).

23992848000 is an abundant number, since it is smaller than the sum of its proper divisors (80097170760).

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

23992848000 is an equidigital number, since it uses as much as digits as its factorization.

23992848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 23992848000 in words is "twenty-three billion, nine hundred ninety-two million, eight hundred forty-eight thousand".