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23697729440 = 2557117092713
BaseRepresentation
bin10110000100011111…
…101010011110100000
32021011112110101102222
4112010133222132200
5342013104320230
614515300330212
71466152243130
oct260437523640
967145411388
1023697729440
11a060828970
1247143a3968
1323087b4c18
14120b434ac0
1593a6d46e5
hex5847ea7a0

23697729440 has 192 divisors, whose sum is σ = 69924798720. Its totient is φ = 7373168640.

The previous prime is 23697729439. The next prime is 23697729487. The reversal of 23697729440 is 4492779632.

It is a super-2 number, since 2×236977294402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8733524 + ... + 8736236.

It is an arithmetic number, because the mean of its divisors is an integer number (364191660).

Almost surely, 223697729440 is an apocalyptic number.

23697729440 is a gapful number since it is divisible by the number (20) 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 23697729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34962399360).

23697729440 is an abundant number, since it is smaller than the sum of its proper divisors (46227069280).

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

23697729440 is a wasteful number, since it uses less digits than its factorization.

23697729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The spelling of 23697729440 in words is "twenty-three billion, six hundred ninety-seven million, seven hundred twenty-nine thousand, four hundred forty".