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23481072936 = 23331941532633
BaseRepresentation
bin10101110111100101…
…001011110100101000
32020121102210002121000
4111313211023310220
5341042123313221
614442000515000
71460611553406
oct256745136450
966542702530
1023481072936
119a5a4a9702
12467391ba60
1322a29482c9
1411ca758476
15926689e26
hex57794bd28

23481072936 has 256 divisors, whose sum is σ = 71686944000. Its totient is φ = 7095029760.

The previous prime is 23481072889. The next prime is 23481072973. The reversal of 23481072936 is 63927018432.

23481072936 is a `hidden beast` number, since 2 + 348 + 10 + 7 + 293 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23481072891 and 23481072900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8916676 + ... + 8919308.

It is an arithmetic number, because the mean of its divisors is an integer number (280027125).

Almost surely, 223481072936 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 23481072936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35843472000).

23481072936 is an abundant number, since it is smaller than the sum of its proper divisors (48205871064).

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

23481072936 is a wasteful number, since it uses less digits than its factorization.

23481072936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23481072936 in words is "twenty-three billion, four hundred eighty-one million, seventy-two thousand, nine hundred thirty-six".