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45393347328 = 28378443703
BaseRepresentation
bin101010010001101001…
…111000001100000000
311100011112120222011020
4222101221320030000
51220431144103303
632504200545440
73164614041330
oct522151701400
9140145528136
1045393347328
11182843a778a
12896a182280
134385563644
1422a89c10c0
1512aa23aa53
hexa91a78300

45393347328 has 72 divisors (see below), whose sum is σ = 138071447808. Its totient is φ = 12969526272.

The previous prime is 45393347323. The next prime is 45393347339. The reversal of 45393347328 is 82374339354.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45393347323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4216476 + ... + 4227227.

Almost surely, 245393347328 is an apocalyptic number.

45393347328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45393347328 is an abundant number, since it is smaller than the sum of its proper divisors (92678100480).

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

45393347328 is an equidigital number, since it uses as much as digits as its factorization.

45393347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443729 (or 8443715 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 51.

The spelling of 45393347328 in words is "forty-five billion, three hundred ninety-three million, three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 8443703 16887406 25331109 33774812 50662218 59105921 67549624 101324436 118211842 135099248 177317763 202648872 236423684 270198496 354635526 405297744 472847368 540396992 709271052 810595488 945694736 1080793984 1418542104 1621190976 1891389472 2161587968 2837084208 3242381952 3782778944 5674168416 6484763904 7565557888 11348336832 15131115776 22696673664 45393347328