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23038764400 = 245257596911
BaseRepresentation
bin10101011101001101…
…111010010101110000
32012110121111111100101
4111131031322111300
5334140410430100
614330040402144
71443631160221
oct253515722560
965417444311
1023038764400
119852866763
12456b776354
132232112492
141187add248
158ec91a86a
hex55d37a570

23038764400 has 30 divisors (see below), whose sum is σ = 55350632432. Its totient is φ = 9215505600.

The previous prime is 23038764389. The next prime is 23038764401. The reversal of 23038764400 is 446783032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23038764400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23038764401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28798056 + ... + 28798855.

Almost surely, 223038764400 is an apocalyptic number.

23038764400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23038764400 is an abundant number, since it is smaller than the sum of its proper divisors (32311868032).

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

23038764400 is a wasteful number, since it uses less digits than its factorization.

23038764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57596929 (or 57596918 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 23038764400 in words is "twenty-three billion, thirty-eight million, seven hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 57596911 115193822 230387644 287984555 460775288 575969110 921550576 1151938220 1439922775 2303876440 2879845550 4607752880 5759691100 11519382200 23038764400