Search a number
-
+
23707485648 = 2434711353673
BaseRepresentation
bin10110000101000100…
…111000010111010000
32021012012211001110000
4112011010320113100
5342023104020043
614520245410000
71466331205650
oct260504702720
967165731400
1023707485648
11a066291950
124717709900
13230a81c822
14120c854360
1593b4b02d3
hex5851385d0

23707485648 has 400 divisors, whose sum is σ = 85917465216. Its totient is φ = 6131220480.

The previous prime is 23707485647. The next prime is 23707485671. The reversal of 23707485648 is 84658470732.

23707485648 is a `hidden beast` number, since 2 + 3 + 7 + 0 + 74 + 8 + 564 + 8 = 666.

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 = 23707485594 and 23707485603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23707485647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35226240 + ... + 35226912.

Almost surely, 223707485648 is an apocalyptic number.

23707485648 is a gapful number since it is divisible by the number (28) 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 23707485648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42958732608).

23707485648 is an abundant number, since it is smaller than the sum of its proper divisors (62209979568).

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

23707485648 is a wasteful number, since it uses less digits than its factorization.

23707485648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 23707485648 in words is "twenty-three billion, seven hundred seven million, four hundred eighty-five thousand, six hundred forty-eight".