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45151385824 = 2517101821771
BaseRepresentation
bin101010000011001110…
…110111100011100000
311022112200022001101001
4222003032313203200
51214432223321244
632424154521344
73155615306236
oct520316674340
9138480261331
1045151385824
111816a8644a6
128901136254
1343473a6a5c
1422847d8956
151293d935d4
hexa833b78e0

45151385824 has 48 divisors (see below), whose sum is σ = 95052723696. Its totient is φ = 21037312000.

The previous prime is 45151385819. The next prime is 45151385941. The reversal of 45151385824 is 42858315154.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 355942 + ... + 465829.

It is an arithmetic number, because the mean of its divisors is an integer number (1980265077).

Almost surely, 245151385824 is an apocalyptic number.

It is an amenable number.

45151385824 is an abundant number, since it is smaller than the sum of its proper divisors (49901337872).

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

45151385824 is a wasteful number, since it uses less digits than its factorization.

45151385824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821899 (or 821891 counting only the distinct ones).

The product of its digits is 768000, while the sum is 46.

The spelling of 45151385824 in words is "forty-five billion, one hundred fifty-one million, three hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 3232 3434 6868 13736 27472 54944 821771 1643542 3287084 6574168 13148336 13970107 26296672 27940214 55880428 82998871 111760856 165997742 223521712 331995484 447043424 663990968 1327981936 1410980807 2655963872 2821961614 5643923228 11287846456 22575692912 45151385824