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23686252096 = 261343289173
BaseRepresentation
bin10110000011110011…
…111000011001000000
32021010201212021111011
4112003303320121000
5342002140031341
614514210330304
71465652551363
oct260363703100
967121767434
1023686252096
11a0552a9861
124710589994
1323062c6ab0
141209ac80da
159396b8b81
hex583cf8640

23686252096 has 168 divisors, whose sum is σ = 52707707640. Its totient is φ = 10496876544.

The previous prime is 23686252039. The next prime is 23686252153. The reversal of 23686252096 is 69025268632.

It is an interprime number because it is at equal distance from previous prime (23686252039) and next prime (23686252153).

It can be written as a sum of positive squares in 4 ways, for example, as 1704038400 + 21982213696 = 41280^2 + 148264^2 .

It is a super-2 number, since 2×236862520962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136914666 + ... + 136914838.

It is an arithmetic number, because the mean of its divisors is an integer number (313736355).

Almost surely, 223686252096 is an apocalyptic number.

23686252096 is a gapful number since it is divisible by the number (26) 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 23686252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26353853820).

23686252096 is an abundant number, since it is smaller than the sum of its proper divisors (29021455544).

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

23686252096 is a wasteful number, since it uses less digits than its factorization.

23686252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 23686252096 in words is "twenty-three billion, six hundred eighty-six million, two hundred fifty-two thousand, ninety-six".