Search a number
-
+
23918948352 = 2123313127131
BaseRepresentation
bin10110010001101011…
…100011000000000000
32021201221201110202000
4112101223203000000
5342441222321402
614553242024000
71504506464205
oct262153430000
967657643660
1023918948352
11a164693a12
1247764a8000
13234258b3a0
14122c97bcac
1594ed30c1c
hex591ae3000

23918948352 has 416 divisors, whose sum is σ = 77501276160. Its totient is φ = 7245987840.

The previous prime is 23918948329. The next prime is 23918948353. The reversal of 23918948352 is 25384981932.

23918948352 is a `hidden beast` number, since 2 + 39 + 1 + 89 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23918948353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182587327 + ... + 182587457.

Almost surely, 223918948352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23918948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38750638080).

23918948352 is an abundant number, since it is smaller than the sum of its proper divisors (53582327808).

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

23918948352 is a wasteful number, since it uses less digits than its factorization.

23918948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 276 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 23918948352 in words is "twenty-three billion, nine hundred eighteen million, nine hundred forty-eight thousand, three hundred fifty-two".