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23384712960 = 28345724603
BaseRepresentation
bin10101110001110101…
…100110011100000000
32020100201110111120000
4111301311212130000
5340342441303320
614424235320000
71455331531500
oct256165463400
966321414500
1023384712960
119a10073a64
1246475b0000
1322889aa57b
1411bba33a00
1591cea3c90
hex571d66700

23384712960 has 540 divisors, whose sum is σ = 97357114008. Its totient is φ = 5343916032.

The previous prime is 23384712943. The next prime is 23384712961. The reversal of 23384712960 is 6921748332.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23384712961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5078019 + ... + 5082621.

Almost surely, 223384712960 is an apocalyptic number.

23384712960 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 23384712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48678557004).

23384712960 is an abundant number, since it is smaller than the sum of its proper divisors (73972401048).

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

23384712960 is an equidigital number, since it uses as much as digits as its factorization.

23384712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23384712960 in words is "twenty-three billion, three hundred eighty-four million, seven hundred twelve thousand, nine hundred sixty".