Search a number
-
+
23466848256 = 2123629271
BaseRepresentation
bin10101110110101110…
…111011000000000000
32020120110000102000000
4111312232323000000
5341030003121011
614440332000000
71460346630135
oct256656730000
966513012000
1023466848256
119a52473475
12466b000000
13229ca07837
1411c88d458c
159252ca356
hex576bbb000

23466848256 has 364 divisors, whose sum is σ = 73054546080. Its totient is φ = 7524679680.

The previous prime is 23466848239. The next prime is 23466848281. The reversal of 23466848256 is 65284866432.

It is a happy number.

23466848256 is a `hidden beast` number, since 2 + 346 + 6 + 8 + 48 + 256 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 86593401 + ... + 86593671.

Almost surely, 223466848256 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 23466848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36527273040).

23466848256 is an abundant number, since it is smaller than the sum of its proper divisors (49587697824).

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

23466848256 is an frugal number, since it uses more digits than its factorization.

23466848256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 305 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 23466848256 in words is "twenty-three billion, four hundred sixty-six million, eight hundred forty-eight thousand, two hundred fifty-six".