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23832900000 = 25335571397
BaseRepresentation
bin10110001100100011…
…010011000110100000
32021111221210202121000
4112030203103012200
5342302210300000
614540525432000
71502413210320
oct261443230640
967457722530
1023832900000
11a120061578
12475170b600
13232a7c0cc0
14122137d280
159474d5000
hex58c8d31a0

23832900000 has 1152 divisors, whose sum is σ = 108038085120. Its totient is φ = 4976640000.

The previous prime is 23832899957. The next prime is 23832900053. The reversal of 23832900000 is 923832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245699952 + ... + 245700048.

It is an arithmetic number, because the mean of its divisors is an integer number (93783060).

Almost surely, 223832900000 is an apocalyptic number.

23832900000 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 23832900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54019042560).

23832900000 is an abundant number, since it is smaller than the sum of its proper divisors (84205185120).

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

23832900000 is an equidigital number, since it uses as much as digits as its factorization.

23832900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 23832900000 in words is "twenty-three billion, eight hundred thirty-two million, nine hundred thousand".