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23293217808 = 2432731924821
BaseRepresentation
bin10101101100011000…
…100100110000010000
32020010100022001210200
4111230120210300100
5340201030432213
614411210255200
71453141041000
oct255430446020
966110261720
1023293217808
119973461333
124620a27500
132272a53c23
1411ad818000
15914e2e273
hex56c624c10

23293217808 has 240 divisors, whose sum is σ = 80026128000. Its totient is φ = 6304677120.

The previous prime is 23293217797. The next prime is 23293217809. The reversal of 23293217808 is 80871239232.

It is not an unprimeable number, because it can be changed into a prime (23293217809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926038 + ... + 950858.

It is an arithmetic number, because the mean of its divisors is an integer number (333442200).

Almost surely, 223293217808 is an apocalyptic number.

23293217808 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 23293217808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40013064000).

23293217808 is an abundant number, since it is smaller than the sum of its proper divisors (56732910192).

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

23293217808 is a wasteful number, since it uses less digits than its factorization.

23293217808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24875 (or 24852 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23293217808 in words is "twenty-three billion, two hundred ninety-three million, two hundred seventeen thousand, eight hundred eight".