Search a number
-
+
23899138560 = 293351117432
BaseRepresentation
bin10110010000011111…
…111110101000000000
32021200120110000211000
4112100133332220000
5342421134413220
614551253252000
71504146216543
oct262037765000
967616400730
1023899138560
11a154493590
12476b934000
13233b44370b
14122a0a285a
1594d21b390
hex5907fea00

23899138560 has 960 divisors, whose sum is σ = 100390181760. Its totient is φ = 5326110720.

The previous prime is 23899138559. The next prime is 23899138561. The reversal of 23899138560 is 6583199832.

It is an interprime number because it is at equal distance from previous prime (23899138559) and next prime (23899138561).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23899138497 and 23899138506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23899138561) 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, 555793899 + ... + 555793941.

It is an arithmetic number, because the mean of its divisors is an integer number (104573106).

Almost surely, 223899138560 is an apocalyptic number.

23899138560 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 23899138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50195090880).

23899138560 is an abundant number, since it is smaller than the sum of its proper divisors (76491043200).

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

23899138560 is a wasteful number, since it uses less digits than its factorization.

23899138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 23899138560 in words is "twenty-three billion, eight hundred ninety-nine million, one hundred thirty-eight thousand, five hundred sixty".