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23465640000 = 263541129613
BaseRepresentation
bin10101110110101010…
…010100000001000000
32020120100202000120210
4111312222110001000
5341024200440000
614440250034120
71460333435415
oct256652240100
966510660523
1023465640000
119a51818710
12466a718940
13229c6a38aa
1411c869c10c
1592513c350
hex576a94040

23465640000 has 560 divisors, whose sum is σ = 87697177920. Its totient is φ = 5483520000.

The previous prime is 23465639983. The next prime is 23465640007. The reversal of 23465640000 is 4656432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 23465640000.

It is not an unprimeable number, because it can be changed into a prime (23465640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38279694 + ... + 38280306.

Almost surely, 223465640000 is an apocalyptic number.

23465640000 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 23465640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43848588960).

23465640000 is an abundant number, since it is smaller than the sum of its proper divisors (64231537920).

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

23465640000 is a wasteful number, since it uses less digits than its factorization.

23465640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 23465640000 in words is "twenty-three billion, four hundred sixty-five million, six hundred forty thousand".