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23994786816 = 2103471113172
BaseRepresentation
bin10110010110001100…
…110110010000000000
32021221020102110120000
4112112030312100000
5343120131134231
615004551320000
71506420215460
oct262614662000
967836373500
1023994786816
11a1a3482530
124797980000
1323551c2510
141238a7dba0
159568116e6
hex596336400

23994786816 has 1320 divisors, whose sum is σ = 102197637696. Its totient is φ = 5414584320.

The previous prime is 23994786791. The next prime is 23994786817. The reversal of 23994786816 is 61868749932.

23994786816 is a `hidden beast` number, since 2 + 3 + 99 + 478 + 68 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23994786817) 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 119 ways as a sum of consecutive naturals, for example, 1411458040 + ... + 1411458056.

Almost surely, 223994786816 is an apocalyptic number.

23994786816 is a gapful number since it is divisible by the number (26) 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 23994786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51098818848).

23994786816 is an abundant number, since it is smaller than the sum of its proper divisors (78202850880).

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

23994786816 is a wasteful number, since it uses less digits than its factorization.

23994786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 23994786816 in words is "twenty-three billion, nine hundred ninety-four million, seven hundred eighty-six thousand, eight hundred sixteen".