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23130094464 = 2732171736827
BaseRepresentation
bin10101100010101010…
…010011101110000000
32012200222100112122100
4111202222103232000
5334332301010324
614343102110400
71446120362511
oct254252235600
965628315570
1023130094464
11989a376354
12459627b400
13224800b939
141195cb4a08
1590595b4c9
hex562a93b80

23130094464 has 192 divisors, whose sum is σ = 70892256240. Its totient is φ = 7213498368.

The previous prime is 23130094453. The next prime is 23130094469. The reversal of 23130094464 is 46449003132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130094469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384619 + ... + 3391445.

Almost surely, 223130094464 is an apocalyptic number.

23130094464 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 23130094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35446128120).

23130094464 is an abundant number, since it is smaller than the sum of its proper divisors (47762161776).

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

23130094464 is a wasteful number, since it uses less digits than its factorization.

23130094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 23130094464 its reverse (46449003132), we get a palindrome (69579097596).

The spelling of 23130094464 in words is "twenty-three billion, one hundred thirty million, ninety-four thousand, four hundred sixty-four".