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23680312320 = 210357273431
BaseRepresentation
bin10110000011011101…
…001110010000000000
32021010022200111122110
4112003131032100000
5341444124443240
614513435135320
71465551222300
oct260335162000
967108614573
1023680312320
11a051a12155
12470a5a4540
132304cc7332
141208dbd600
15938de3c80
hex58374e400

23680312320 has 528 divisors, whose sum is σ = 89519862528. Its totient is φ = 5326110720.

The previous prime is 23680312283. The next prime is 23680312321. The reversal of 23680312320 is 2321308632.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23680312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54942505 + ... + 54942935.

Almost surely, 223680312320 is an apocalyptic number.

23680312320 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 23680312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44759931264).

23680312320 is an abundant number, since it is smaller than the sum of its proper divisors (65839550208).

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

23680312320 is a wasteful number, since it uses less digits than its factorization.

23680312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 23680312320 in words is "twenty-three billion, six hundred eighty million, three hundred twelve thousand, three hundred twenty".