Search a number
-
+
23916422825568 = 2534713175964457
BaseRepresentation
bin1010111000000011110011…
…11000110000011001100000
310010200101110121221211210000
411130001321320300121200
511113321313220404233
6122511015235140000
75015622152536320
oct534017170603140
9103611417854700
1023916422825568
117690997204519
1228231b5744600
131046402b29ab0
145c97bd6d5280
152b71c37bdd13
hex15c079e30660

23916422825568 has 480 divisors, whose sum is σ = 91661599681344. Its totient is φ = 5936590061568.

The previous prime is 23916422825567. The next prime is 23916422825569. The reversal of 23916422825568 is 86552822461932.

23916422825568 is a `hidden beast` number, since 2 + 3 + 9 + 1 + 6 + 42 + 2 + 8 + 25 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (23916422825567) and next prime (23916422825569).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23916422825563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1027596 + ... + 6992052.

Almost surely, 223916422825568 is an apocalyptic number.

23916422825568 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 23916422825568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830799840672).

23916422825568 is an abundant number, since it is smaller than the sum of its proper divisors (67745176855776).

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

23916422825568 is a wasteful number, since it uses less digits than its factorization.

23916422825568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964516 (or 5964499 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 23916422825568 in words is "twenty-three trillion, nine hundred sixteen billion, four hundred twenty-two million, eight hundred twenty-five thousand, five hundred sixty-eight".