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23426782848 = 273372371593
BaseRepresentation
bin10101110100010110…
…000101011010000000
32020110122121212121000
4111310112011122000
5340434224022343
614432341132000
71456352240310
oct256426053200
966418555530
1023426782848
119a31898767
1246596ba000
13229461a2b1
1411c3465440
15921a13ed3
hex574585680

23426782848 has 512 divisors, whose sum is σ = 83756851200. Its totient is φ = 6301532160.

The previous prime is 23426782837. The next prime is 23426782853. The reversal of 23426782848 is 84828762432.

It is a super-2 number, since 2×234267828482 (a number of 22 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 23426782794 and 23426782803.

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, 39505240 + ... + 39505832.

It is an arithmetic number, because the mean of its divisors is an integer number (163587600).

Almost surely, 223426782848 is an apocalyptic number.

23426782848 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 23426782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41878425600).

23426782848 is an abundant number, since it is smaller than the sum of its proper divisors (60330068352).

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

23426782848 is a wasteful number, since it uses less digits than its factorization.

23426782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 699 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 23426782848 in words is "twenty-three billion, four hundred twenty-six million, seven hundred eighty-two thousand, eight hundred forty-eight".