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45151506315 = 3252574578543
BaseRepresentation
bin101010000011001111…
…010100111110001011
311022112200112011122200
4222003033110332023
51214432241200230
632424201251243
73155616320436
oct520317247613
9138480464580
1045151506315
111816a936a83
128901193b23
134347419856
14228482a81d
151293db9160
hexa833d4f8b

45151506315 has 48 divisors (see below), whose sum is σ = 78748270848. Its totient is φ = 23931813888.

The previous prime is 45151506299. The next prime is 45151506377. The reversal of 45151506315 is 51360515154.

45151506315 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 15 + 0 + 631 + 5 = 666.

It is not a de Polignac number, because 45151506315 - 24 = 45151506299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45151506315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5280934 + ... + 5289476.

It is an arithmetic number, because the mean of its divisors is an integer number (1640588976).

Almost surely, 245151506315 is an apocalyptic number.

45151506315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45151506315 is a deficient number, since it is larger than the sum of its proper divisors (33596764533).

45151506315 is a wasteful number, since it uses less digits than its factorization.

45151506315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 45151506315 in words is "forty-five billion, one hundred fifty-one million, five hundred six thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 257 457 771 1285 1371 2285 2313 3855 4113 6855 8543 11565 20565 25629 42715 76887 117449 128145 352347 384435 587245 1057041 1761735 2195551 3904151 5285205 6586653 10977755 11712453 19520755 19759959 32933265 35137359 58562265 98799795 175686795 1003366807 3010100421 5016834035 9030301263 15050502105 45151506315