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45608028291 = 3371275093733
BaseRepresentation
bin101010011110011100…
…110100100010000011
311100201111112220002000
4222132130310202003
51221401123401131
632541350155043
73203131562340
oct523634644203
9140644486060
1045608028291
11183845a7771
128a0a052a83
1343bab8acb7
1422c93057c7
1512bdee4ce6
hexa9e734883

45608028291 has 64 divisors (see below), whose sum is σ = 78001766400. Its totient is φ = 25798808448.

The previous prime is 45608028199. The next prime is 45608028329. The reversal of 45608028291 is 19282080654.

45608028291 is a `hidden beast` number, since 4 + 560 + 8 + 0 + 2 + 82 + 9 + 1 = 666.

It is not a de Polignac number, because 45608028291 - 213 = 45608020099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45608028091) 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, 12215661 + ... + 12219393.

It is an arithmetic number, because the mean of its divisors is an integer number (1218777600).

Almost surely, 245608028291 is an apocalyptic number.

45608028291 is a deficient number, since it is larger than the sum of its proper divisors (32393738109).

45608028291 is a wasteful number, since it uses less digits than its factorization.

45608028291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 45608028291 in words is "forty-five billion, six hundred eight million, twenty-eight thousand, two hundred ninety-one".

Divisors: 1 3 7 9 21 27 63 127 189 381 509 889 1143 1527 2667 3429 3563 3733 4581 8001 10689 11199 13743 24003 26131 32067 33597 64643 78393 96201 100791 193929 235179 452501 474091 581787 705537 1357503 1422273 1745361 1900097 3318637 4072509 4266819 5700291 9955911 12217527 12800457 13300679 17100873 29867733 39902037 51302619 89603199 119706111 241312319 359118333 723936957 1689186233 2171810871 5067558699 6515432613 15202676097 45608028291