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24148426014 = 23210344929009
BaseRepresentation
bin10110011111010110…
…111011110100011110
32022022221112010220200
4112133112323310132
5343423444113024
615032120324330
71513264143246
oct263726736436
968287463820
1024148426014
11a27217a979
12481b3136a6
13237ac9699b
141251234b26
1596505e2c9
hex59f5bbd1e

24148426014 has 48 divisors (see below), whose sum is σ = 52949052000. Its totient is φ = 7953297408.

The previous prime is 24148426009. The next prime is 24148426091. The reversal of 24148426014 is 41062484142.

24148426014 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 8 + 42 + 601 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 24148426014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817942 + ... + 846950.

It is an arithmetic number, because the mean of its divisors is an integer number (1103105250).

Almost surely, 224148426014 is an apocalyptic number.

24148426014 is an abundant number, since it is smaller than the sum of its proper divisors (28800625986).

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

24148426014 is a wasteful number, since it uses less digits than its factorization.

24148426014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29569 (or 29566 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 24148426014 in words is "twenty-four billion, one hundred forty-eight million, four hundred twenty-six thousand, fourteen".

Divisors: 1 2 3 6 9 18 103 206 309 449 618 898 927 1347 1854 2694 4041 8082 29009 46247 58018 87027 92494 138741 174054 261081 277482 416223 522162 832446 2987927 5975854 8963781 13025041 17927562 26050082 26891343 39075123 53782686 78150246 117225369 234450738 1341579223 2683158446 4024737669 8049475338 12074213007 24148426014