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23355409920 = 293531263373
BaseRepresentation
bin10101110000000101…
…110100011000000000
32020021200022202100020
4111300011310120000
5340312441104140
614421311253440
71454524465053
oct256005643000
966250282306
1023355409920
1199a557a177
12463981a280
1322828ba8ab
1411b7ba6a9a
1591a6166d0
hex570174600

23355409920 has 320 divisors, whose sum is σ = 77573320704. Its totient is φ = 5988188160.

The previous prime is 23355409879. The next prime is 23355409921. The reversal of 23355409920 is 2990455332.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23355409921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62614854 + ... + 62615226.

Almost surely, 223355409920 is an apocalyptic number.

23355409920 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 23355409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786660352).

23355409920 is an abundant number, since it is smaller than the sum of its proper divisors (54217910784).

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

23355409920 is a wasteful number, since it uses less digits than its factorization.

23355409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 23355409920 in words is "twenty-three billion, three hundred fifty-five million, four hundred nine thousand, nine hundred twenty".