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23682813696 = 283417232127
BaseRepresentation
bin10110000011100110…
…110000111100000000
32021010111101120220000
4112003212300330000
5342000300014241
614514004520000
71465611411033
oct260346607400
967114346800
1023682813696
11a053370503
12470b3b0000
132305691a39
14120947101a
15939239eb6
hex5839b0f00

23682813696 has 540 divisors, whose sum is σ = 78779619072. Its totient is φ = 7050903552.

The previous prime is 23682813659. The next prime is 23682813733. The reversal of 23682813696 is 69631828632.

It is an interprime number because it is at equal distance from previous prime (23682813659) and next prime (23682813733).

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 59 ways as a sum of consecutive naturals, for example, 186478785 + ... + 186478911.

Almost surely, 223682813696 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 23682813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39389809536).

23682813696 is an abundant number, since it is smaller than the sum of its proper divisors (55096805376).

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

23682813696 is a wasteful number, since it uses less digits than its factorization.

23682813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 172 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 23682813696 in words is "twenty-three billion, six hundred eighty-two million, eight hundred thirteen thousand, six hundred ninety-six".