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23249047680 = 2734517233137
BaseRepresentation
bin10101101001110000…
…000101000010000000
32020000021011222210000
4111221300011002000
5340103224011210
614402551440000
71452063434055
oct255160050200
966007158700
1023249047680
1199505326a1
12460a086000
13226685a261
1411a79db02c
15911106ac0
hex569c05080

23249047680 has 1280 divisors, whose sum is σ = 97251010560. Its totient is φ = 5255331840.

The previous prime is 23249047667. The next prime is 23249047699. The reversal of 23249047680 is 8674094232.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628352622 + ... + 628352658.

It is an arithmetic number, because the mean of its divisors is an integer number (75977352).

Almost surely, 223249047680 is an apocalyptic number.

23249047680 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 23249047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625505280).

23249047680 is an abundant number, since it is smaller than the sum of its proper divisors (74001962880).

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

23249047680 is a wasteful number, since it uses less digits than its factorization.

23249047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23249047680 in words is "twenty-three billion, two hundred forty-nine million, forty-seven thousand, six hundred eighty".