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23005887840 = 25335131724097
BaseRepresentation
bin10101011011010000…
…011111110101100000
32012101022122012012000
4111123100133311200
5334104001402330
614322504004000
71443051551205
oct253320376540
965338565160
1023005887840
119836251051
124560760600
1322283710b0
1411835c1cac
158e9ac4560
hex55b41fd60

23005887840 has 384 divisors, whose sum is σ = 91819163520. Its totient is φ = 5329649664.

The previous prime is 23005887703. The next prime is 23005887851. The reversal of 23005887840 is 4878850032.

23005887840 is a `hidden beast` number, since 23 + 0 + 0 + 588 + 7 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942672 + ... + 966768.

It is an arithmetic number, because the mean of its divisors is an integer number (239112405).

Almost surely, 223005887840 is an apocalyptic number.

23005887840 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 23005887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45909581760).

23005887840 is an abundant number, since it is smaller than the sum of its proper divisors (68813275680).

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

23005887840 is a wasteful number, since it uses less digits than its factorization.

23005887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24151 (or 24137 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 23005887840 in words is "twenty-three billion, five million, eight hundred eighty-seven thousand, eight hundred forty".