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23446831968 = 2533753193379
BaseRepresentation
bin10101110101100010…
…100100001101100000
32020112001100110211000
4111311202210031200
5341004342110333
614434334552000
71460014532460
oct256542441540
966461313730
1023446831968
119a4214198a
124664368600
132298819b91
1411c5da3ba0
15923674713
hex5758a4360

23446831968 has 384 divisors, whose sum is σ = 80254540800. Its totient is φ = 6521389056.

The previous prime is 23446831921. The next prime is 23446831979. The reversal of 23446831968 is 86913864432.

23446831968 is a `hidden beast` number, since 2 + 3 + 446 + 8 + 3 + 196 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61864803 + ... + 61865181.

It is an arithmetic number, because the mean of its divisors is an integer number (208996200).

Almost surely, 223446831968 is an apocalyptic number.

23446831968 is a gapful number since it is divisible by the number (28) 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 23446831968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40127270400).

23446831968 is an abundant number, since it is smaller than the sum of its proper divisors (56807708832).

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

23446831968 is a wasteful number, since it uses less digits than its factorization.

23446831968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 23446831968 in words is "twenty-three billion, four hundred forty-six million, eight hundred thirty-one thousand, nine hundred sixty-eight".