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23381776880 = 245721117167191
BaseRepresentation
bin10101110001101010…
…011001100111110000
32020100111221100000022
4111301222121213300
5340341213330010
614424052343012
71455264552500
oct256152314760
966314840008
1023381776880
119a09449050
124646614a68
1322881c0047
1411bb4aba00
1591cac3d55
hex571a999f0

23381776880 has 480 divisors, whose sum is σ = 73867272192. Its totient is φ = 6782361600.

The previous prime is 23381776819. The next prime is 23381776889. The reversal of 23381776880 is 8867718332.

It is a super-2 number, since 2×233817768802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23381776889) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122417585 + ... + 122417775.

Almost surely, 223381776880 is an apocalyptic number.

23381776880 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 23381776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36933636096).

23381776880 is an abundant number, since it is smaller than the sum of its proper divisors (50485495312).

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

23381776880 is a wasteful number, since it uses less digits than its factorization.

23381776880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 23381776880 in words is "twenty-three billion, three hundred eighty-one million, seven hundred seventy-six thousand, eight hundred eighty".