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23134432320 = 26325171313607
BaseRepresentation
bin10101100010111010…
…110110110001000000
32012201021111221001200
4111202322312301000
5334334403313240
614343335101200
71446202300356
oct254272666100
965637457050
1023134432320
1198a186945a
124597811800
132248b9a20c
1411966c37d6
15906016930
hex562eb6c40

23134432320 has 336 divisors, whose sum is σ = 84920254848. Its totient is φ = 5760368640.

The previous prime is 23134432273. The next prime is 23134432361. The reversal of 23134432320 is 2323443132.

23134432320 is a `hidden beast` number, since 2 + 313 + 4 + 4 + 323 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6411957 + ... + 6415563.

Almost surely, 223134432320 is an apocalyptic number.

23134432320 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 23134432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42460127424).

23134432320 is an abundant number, since it is smaller than the sum of its proper divisors (61785822528).

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

23134432320 is a wasteful number, since it uses less digits than its factorization.

23134432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23134432320 its reverse (2323443132), we get a palindrome (25457875452).

It can be divided in two parts, 231 and 34432320, that added together give a triangular number (34432551 = T8298).

The spelling of 23134432320 in words is "twenty-three billion, one hundred thirty-four million, four hundred thirty-two thousand, three hundred twenty".