Search a number
-
+
23046490944 = 263271653863
BaseRepresentation
bin10101011101101011…
…011000101101000000
32012111011001001011200
4111131223120231000
5334144400202234
614330514141200
71444053640461
oct253553305500
965434031150
1023046490944
119857163834
124572281800
1322338b92b9
141188b50d68
158ed444d99
hex55dad8b40

23046490944 has 168 divisors, whose sum is σ = 67169336832. Its totient is φ = 7553602560.

The previous prime is 23046490919. The next prime is 23046490949. The reversal of 23046490944 is 44909464032.

23046490944 is a `hidden beast` number, since 2 + 30 + 46 + 490 + 94 + 4 = 666.

It is a super-2 number, since 2×230464909442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23046490944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23046490949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26704657 + ... + 26705519.

Almost surely, 223046490944 is an apocalyptic number.

23046490944 is a gapful number since it is divisible by the number (24) 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 23046490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33584668416).

23046490944 is an abundant number, since it is smaller than the sum of its proper divisors (44122845888).

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

23046490944 is a wasteful number, since it uses less digits than its factorization.

23046490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1592 counting only the distinct ones).

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

The spelling of 23046490944 in words is "twenty-three billion, forty-six million, four hundred ninety thousand, nine hundred forty-four".