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23793216720 = 243571331113311
BaseRepresentation
bin10110001010001011…
…111010110011010000
32021102012010122100220
4112022023322303100
5342212030413340
614532551113040
71501422001530
oct261213726320
967365118326
1023793216720
11a0aa717979
124740372780
132322508680
141219dad4c0
15943c96ed0
hex58a2facd0

23793216720 has 640 divisors, whose sum is σ = 94841929728. Its totient is φ = 4799692800.

The previous prime is 23793216683. The next prime is 23793216737. The reversal of 23793216720 is 2761239732.

It is a super-2 number, since 2×237932167202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76505365 + ... + 76505675.

Almost surely, 223793216720 is an apocalyptic number.

23793216720 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 23793216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47420964864).

23793216720 is an abundant number, since it is smaller than the sum of its proper divisors (71048713008).

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

23793216720 is a wasteful number, since it uses less digits than its factorization.

23793216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 23793216720 in words is "twenty-three billion, seven hundred ninety-three million, two hundred sixteen thousand, seven hundred twenty".