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316106813520 = 24335146345747
BaseRepresentation
bin1001001100110010110…
…11110011000001010000
31010012221000201221011000
410212121123303001100
520134341321013040
6401114550022000
731560264403341
oct4463133630120
91105830657130
10316106813520
11112073067733
125131b647900
1323a68a729b4
141142a35a0c8
158351753130
hex49996f3050

316106813520 has 80 divisors (see below), whose sum is σ = 1088812365120. Its totient is φ = 84295149696.

The previous prime is 316106813507. The next prime is 316106813537. The reversal of 316106813520 is 25318601613.

316106813520 is a `hidden beast` number, since 3 + 1 + 61 + 0 + 68 + 13 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73170714 + ... + 73175033.

It is an arithmetic number, because the mean of its divisors is an integer number (13610154564).

Almost surely, 2316106813520 is an apocalyptic number.

316106813520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316106813520 is an abundant number, since it is smaller than the sum of its proper divisors (772705551600).

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

316106813520 is a wasteful number, since it uses less digits than its factorization.

316106813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146345769 (or 146345757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 316106813520 in words is "three hundred sixteen billion, one hundred six million, eight hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 146345747 292691494 439037241 585382988 731728735 878074482 1170765976 1317111723 1463457470 1756148964 2195186205 2341531952 2634223446 2926914940 3512297928 3951335169 4390372410 5268446892 5853829880 6585558615 7024595856 7902670338 8780744820 10536893784 11707659760 13171117230 15805340676 17561489640 19756675845 21073787568 26342234460 31610681352 35122979280 39513351690 52684468920 63221362704 79026703380 105368937840 158053406760 316106813520