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23293679976 = 2334722941617
BaseRepresentation
bin10101101100011010…
…010101100101101000
32020010101011112210000
4111230122111211220
5340201140224401
614411224223000
71453145004300
oct255432254550
966111145700
1023293679976
119973747596
12462100aa60
132272b863b8
1411ad8d8600
15914ec1186
hex56c695968

23293679976 has 480 divisors, whose sum is σ = 80558339400. Its totient is φ = 6258954240.

The previous prime is 23293679951. The next prime is 23293679987. The reversal of 23293679976 is 67997639232.

It can be written as a sum of positive squares in 4 ways, for example, as 7449416100 + 15844263876 = 86310^2 + 125874^2 .

It is a super-3 number, since 3×232936799763 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 37752820 + ... + 37753436.

Almost surely, 223293679976 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 23293679976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279169700).

23293679976 is an abundant number, since it is smaller than the sum of its proper divisors (57264659424).

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

23293679976 is a wasteful number, since it uses less digits than its factorization.

23293679976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 699 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 63.

The spelling of 23293679976 in words is "twenty-three billion, two hundred ninety-three million, six hundred seventy-nine thousand, nine hundred seventy-six".