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23283776880 = 24325721350767
BaseRepresentation
bin10101101011110100…
…100011110101110000
32020002200112102021200
4111223310203311300
5340141121330010
614410232051200
71452664560300
oct255364436560
966080472250
1023283776880
1199690a3211
124619833b00
132270ac9990
1411ac47b600
159141b6cc0
hex56bd23d70

23283776880 has 360 divisors, whose sum is σ = 97960105152. Its totient is φ = 4912524288.

The previous prime is 23283776851. The next prime is 23283776897. The reversal of 23283776880 is 8867738232.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 433257 + ... + 484023.

Almost surely, 223283776880 is an apocalyptic number.

23283776880 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 23283776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48980052576).

23283776880 is an abundant number, since it is smaller than the sum of its proper divisors (74676328272).

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

23283776880 is a wasteful number, since it uses less digits than its factorization.

23283776880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50813 (or 50797 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 23283776880 in words is "twenty-three billion, two hundred eighty-three million, seven hundred seventy-six thousand, eight hundred eighty".