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23788084320 = 25335711135501
BaseRepresentation
bin10110001001111000…
…010101110001100000
32021101211110220001000
4112021320111301200
5342204222144240
614532245112000
71501330244340
oct261170256140
967354426030
1023788084320
11a0a7831920
12473a6b8600
13232142c550
141219434d20
159435d1430
hex589e15c60

23788084320 has 768 divisors, whose sum is σ = 111807682560. Its totient is φ = 4561920000.

The previous prime is 23788084297. The next prime is 23788084361. The reversal of 23788084320 is 2348088732.

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 127 ways as a sum of consecutive naturals, for example, 4321570 + ... + 4327070.

It is an arithmetic number, because the mean of its divisors is an integer number (145582920).

Almost surely, 223788084320 is an apocalyptic number.

23788084320 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 23788084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55903841280).

23788084320 is an abundant number, since it is smaller than the sum of its proper divisors (88019598240).

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

23788084320 is a wasteful number, since it uses less digits than its factorization.

23788084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23788084320 in words is "twenty-three billion, seven hundred eighty-eight million, eighty-four thousand, three hundred twenty".