Search a number
-
+
23205496896 = 263531127379
BaseRepresentation
bin10101100111001001…
…111100100001000000
32012220020020101100000
4111213021330201000
5340011101400041
614354354200000
71451024316621
oct254711744100
965806211300
1023205496896
11992899730a
1245b7583000
13225a81c46a
1411a1d01a48
1590c3a2bb6
hex56727c840

23205496896 has 336 divisors, whose sum is σ = 71952957440. Its totient is φ = 7407106560.

The previous prime is 23205496891. The next prime is 23205496901. The reversal of 23205496896 is 69869450232.

It is a happy number.

23205496896 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 549 + 6 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (23205496891) and next prime (23205496901).

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

It is not an unprimeable number, because it can be changed into a prime (23205496891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61228035 + ... + 61228413.

Almost surely, 223205496896 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 23205496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35976478720).

23205496896 is an abundant number, since it is smaller than the sum of its proper divisors (48747460544).

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

23205496896 is a wasteful number, since it uses less digits than its factorization.

23205496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 23205496896 in words is "twenty-three billion, two hundred five million, four hundred ninety-six thousand, eight hundred ninety-six".