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23968390091520 = 283573160747387
BaseRepresentation
bin1010111001100100100110…
…11000001001001100000000
310010212100121022112110221210
411130302103120021030000
511120144230330412040
6122550532034050120
75022442023160320
oct534622330111400
9103770538473853
1023968390091520
117700a343965a6
122831299419940
13104b2953225c4
145cc10d3dd280
152b8715c0c480
hex15cc93609300

23968390091520 has 576 divisors, whose sum is σ = 90457392807936. Its totient is φ = 5292917637120.

The previous prime is 23968390091501. The next prime is 23968390091533. The reversal of 23968390091520 is 2519009386932.

It is a super-2 number, since 2×239683900915202 (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 505777267 + ... + 505824653.

It is an arithmetic number, because the mean of its divisors is an integer number (157044084736).

Almost surely, 223968390091520 is an apocalyptic number.

23968390091520 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 23968390091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45228696403968).

23968390091520 is an abundant number, since it is smaller than the sum of its proper divisors (66489002716416).

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

23968390091520 is a wasteful number, since it uses less digits than its factorization.

23968390091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48056 (or 48042 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 23968390091520 in words is "twenty-three trillion, nine hundred sixty-eight billion, three hundred ninety million, ninety-one thousand, five hundred twenty".