Search a number
-
+
23492424960 = 2832531157419
BaseRepresentation
bin10101111000010000…
…011111010100000000
32020122020010211122100
4111320100133110000
5341103030044320
614443044110400
71461110213604
oct257020372400
966566124570
1023492424960
119a65952644
124677695400
1322a50c1394
1411cc071504
1592767d790
hex57841f500

23492424960 has 432 divisors, whose sum is σ = 84639260160. Its totient is φ = 6009569280.

The previous prime is 23492424947. The next prime is 23492424973. The reversal of 23492424960 is 6942429432.

23492424960 is a `hidden beast` number, since 2 + 34 + 92 + 42 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23492424947) and next prime (23492424973).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56067631 + ... + 56068049.

Almost surely, 223492424960 is an apocalyptic number.

23492424960 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 23492424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319630080).

23492424960 is an abundant number, since it is smaller than the sum of its proper divisors (61146835200).

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

23492424960 is a wasteful number, since it uses less digits than its factorization.

23492424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23492424960 in words is "twenty-three billion, four hundred ninety-two million, four hundred twenty-four thousand, nine hundred sixty".