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316806470505 = 32575965925867
BaseRepresentation
bin1001001110000110010…
…00110001101101101001
31010021201210021012002200
410213003020301231221
520142304424024010
6401312222050413
731613521365540
oct4470310615551
91107653235080
10316806470505
111123a1aa2348
1251495a19a09
1323b4a9c1c05
1411495245157
158392da8cc0
hex49c3231b69

316806470505 has 96 divisors (see below), whose sum is σ = 639208627200. Its totient is φ = 142149603456.

The previous prime is 316806470503. The next prime is 316806470521. The reversal of 316806470505 is 505074608613.

316806470505 is a `hidden beast` number, since 3 + 1 + 6 + 80 + 64 + 7 + 0 + 505 = 666.

It is not a de Polignac number, because 316806470505 - 21 = 316806470503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (316806470503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12234582 + ... + 12260448.

It is an arithmetic number, because the mean of its divisors is an integer number (6658423200).

Almost surely, 2316806470505 is an apocalyptic number.

316806470505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

316806470505 is an abundant number, since it is smaller than the sum of its proper divisors (322402156695).

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

316806470505 is a wasteful number, since it uses less digits than its factorization.

316806470505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26603 (or 26600 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 316806470505 in words is "three hundred sixteen billion, eight hundred six million, four hundred seventy thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 659 885 1239 1977 2065 2655 3295 3717 4613 5931 6195 9885 13839 18585 23065 25867 29655 38881 41517 69195 77601 116643 129335 181069 194405 207585 232803 272167 349929 388005 543207 583215 816501 905345 1164015 1360835 1526153 1629621 1749645 2449503 2716035 4082505 4578459 7630765 8148105 10683071 12247515 13735377 17046353 22892295 32049213 51139059 53415355 68676885 85231765 96147639 119324471 153417177 160246065 255695295 357973413 480738195 596622355 767085885 1005734827 1073920239 1789867065 3017204481 5028674135 5369601195 7040143789 9051613443 15086022405 21120431367 35200718945 45258067215 63361294101 105602156835 316806470505