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766131327460 = 22538306566373
BaseRepresentation
bin10110010011000001111…
…11000101000111100100
32201020112000020220120101
423021200333011013210
5100023014104434320
61343542245113444
7106231306556332
oct13114077050744
92636460226511
10766131327460
11275a07185834
121045939b8884
1357327254935
142911c1d0b52
1514ddec34c0a
hexb260fc51e4

766131327460 has 12 divisors (see below), whose sum is σ = 1608875787708. Its totient is φ = 306452530976.

The previous prime is 766131327457. The next prime is 766131327469. The reversal of 766131327460 is 64723131667.

It can be written as a sum of positive squares in 2 ways, for example, as 456292144036 + 309839183424 = 675494^2 + 556632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 766131327460.

It is not an unprimeable number, because it can be changed into a prime (766131327469) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 19153283167 + ... + 19153283206.

It is an arithmetic number, because the mean of its divisors is an integer number (134072982309).

Almost surely, 2766131327460 is an apocalyptic number.

It is an amenable number.

766131327460 is an abundant number, since it is smaller than the sum of its proper divisors (842744460248).

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

766131327460 is a wasteful number, since it uses less digits than its factorization.

766131327460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38306566382 (or 38306566380 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 766131327460 in words is "seven hundred sixty-six billion, one hundred thirty-one million, three hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 38306566373 76613132746 153226265492 191532831865 383065663730 766131327460