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318163076820 = 22345296772309
BaseRepresentation
bin1001010000100111111…
…11110100011011010100
31010102020022221221010000
410220103333310123110
520203044221424240
6402055002531300
731662243350151
oct4502377643324
91112208857100
10318163076820
11112a28842796
12517b4206b30
1324005a89244
141158349d228
15842202b430
hex4a13ff46d4

318163076820 has 120 divisors (see below), whose sum is σ = 1032506382600. Its totient is φ = 81917837568.

The previous prime is 318163076783. The next prime is 318163076929. The reversal of 318163076820 is 28670361813.

318163076820 is a `hidden beast` number, since 3 + 1 + 8 + 1 + 630 + 7 + 6 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20741184324 + 297421892496 = 144018^2 + 545364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3339175 + ... + 3433134.

It is an arithmetic number, because the mean of its divisors is an integer number (8604219855).

Almost surely, 2318163076820 is an apocalyptic number.

318163076820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318163076820 is an abundant number, since it is smaller than the sum of its proper divisors (714343305780).

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

318163076820 is a wasteful number, since it uses less digits than its factorization.

318163076820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772359 (or 6772348 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 318163076820 in words is "three hundred eighteen billion, one hundred sixty-three million, seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 6772309 13544618 20316927 27089236 33861545 40633854 60950781 67723090 81267708 101584635 121901562 135446180 182852343 196396961 203169270 243803124 304753905 365704686 392793922 406338540 548557029 589190883 609507810 731409372 785587844 914261715 981984805 1097114058 1178381766 1219015620 1767572649 1828523430 1963969610 2194228116 2356763532 2742785145 2945954415 3535145298 3657046860 3927939220 5302717947 5485570290 5891908830 7070290596 8837863245 10605435894 10971140580 11783817660 15908153841 17675726490 21210871788 26513589735 31816307682 35351452980 53027179470 63632615364 79540769205 106054358940 159081538410 318163076820