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23685444458632 = 231119232273797159
BaseRepresentation
bin1010110001010101100101…
…00000001101100010001000
310002212022021100102001210001
411120222302200031202020
511101030242240134012
6122212535403132344
74663134252032605
oct530526240154210
9102768240361701
1023685444458632
117601a38a11780
1227a64935140b4
13102a6b28411a8
145bc54b28d6ac
152b11a58b4357
hex158ab280d888

23685444458632 has 256 divisors, whose sum is σ = 53597583360000. Its totient is φ = 9686059004160.

The previous prime is 23685444458623. The next prime is 23685444458633.

23685444458632 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×236854444586322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23685444458633) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3308481469 + ... + 3308488627.

It is an arithmetic number, because the mean of its divisors is an integer number (209365560000).

Almost surely, 223685444458632 is an apocalyptic number.

23685444458632 is a gapful number since it is divisible by the number (22) 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 23685444458632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26798791680000).

23685444458632 is an abundant number, since it is smaller than the sum of its proper divisors (29912138901368).

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

23685444458632 is a wasteful number, since it uses less digits than its factorization.

23685444458632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7820 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 64.

The spelling of 23685444458632 in words is "twenty-three trillion, six hundred eighty-five billion, four hundred forty-four million, four hundred fifty-eight thousand, six hundred thirty-two".