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23992446240 = 253457237781
BaseRepresentation
bin10110010110000011…
…111010110100100000
32021221002000112220000
4112112003322310200
5343114031234430
615004425220000
71506361266600
oct262603726440
967832015800
1023992446240
11a1a2123a74
124797031600
132354883069
141238630c00
159564ece60
hex5960fad20

23992446240 has 360 divisors, whose sum is σ = 98500167612. Its totient is φ = 5483842560.

The previous prime is 23992446227. The next prime is 23992446259. The reversal of 23992446240 is 4264429932.

It can be written as a sum of positive squares in 2 ways, for example, as 23707376784 + 285069456 = 153972^2 + 16884^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 616150 + ... + 653930.

Almost surely, 223992446240 is an apocalyptic number.

23992446240 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 23992446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49250083806).

23992446240 is an abundant number, since it is smaller than the sum of its proper divisors (74507721372).

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

23992446240 is a wasteful number, since it uses less digits than its factorization.

23992446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37822 (or 37798 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23992446240 in words is "twenty-three billion, nine hundred ninety-two million, four hundred forty-six thousand, two hundred forty".