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23792864832 = 263511236047
BaseRepresentation
bin10110001010001010…
…100100111001000000
32021102011110202200000
4112022022210321000
5342211433133312
614532535400000
71501416004602
oct261212447100
967364422600
1023792864832
11a0aa4a7560
124740223000
132322414459
141219d1b172
15943c27adc
hex58a2a4e40

23792864832 has 336 divisors, whose sum is σ = 80521039872. Its totient is φ = 6895342080.

The previous prime is 23792864827. The next prime is 23792864869. The reversal of 23792864832 is 23846829732.

It is a super-2 number, since 2×237928648322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 3931633 + ... + 3937679.

It is an arithmetic number, because the mean of its divisors is an integer number (239645952).

Almost surely, 223792864832 is an apocalyptic number.

23792864832 is a gapful number since it is divisible by the number (22) 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 23792864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40260519936).

23792864832 is an abundant number, since it is smaller than the sum of its proper divisors (56728175040).

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

23792864832 is a wasteful number, since it uses less digits than its factorization.

23792864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6086 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 23792864832 in words is "twenty-three billion, seven hundred ninety-two million, eight hundred sixty-four thousand, eight hundred thirty-two".