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23488161840 = 243351121331223
BaseRepresentation
bin10101111000000000…
…001110100000110000
32020121221010020202000
4111320000032200300
5341100432134330
614442412454000
71461026036643
oct257000164060
966557106660
1023488161840
119a63500700
12467617a300
1322a425ab20
1411cb681a5a
159270da560
hex57800e830

23488161840 has 960 divisors, whose sum is σ = 99300311040. Its totient is φ = 5063731200.

The previous prime is 23488161839. The next prime is 23488161857. The reversal of 23488161840 is 4816188432.

23488161840 is a `hidden beast` number, since 2 + 3 + 488 + 161 + 8 + 4 + 0 = 666.

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

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, 105327969 + ... + 105328191.

It is an arithmetic number, because the mean of its divisors is an integer number (103437824).

Almost surely, 223488161840 is an apocalyptic number.

23488161840 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 23488161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49650155520).

23488161840 is an abundant number, since it is smaller than the sum of its proper divisors (75812149200).

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

23488161840 is a wasteful number, since it uses less digits than its factorization.

23488161840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 23488161840 in words is "twenty-three billion, four hundred eighty-eight million, one hundred sixty-one thousand, eight hundred forty".