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86531341941 = 32113189316801
BaseRepresentation
bin101000010010110101…
…0110111111001110101
322021100111222121210100
41100211222313321311
52404204010420231
6103430230544313
76152220161562
oct1204552677165
9267314877710
1086531341941
1133774760a40
121492b208099
13821030a6a5
14428c37b869
1523b6ab11e6
hex1425ab7e75

86531341941 has 48 divisors (see below), whose sum is σ = 142332802560. Its totient is φ = 50181120000.

The previous prime is 86531341931. The next prime is 86531341979. The reversal of 86531341941 is 14914313568.

86531341941 is a `hidden beast` number, since 86 + 531 + 34 + 1 + 9 + 4 + 1 = 666.

It is not a de Polignac number, because 86531341941 - 25 = 86531341909 is a prime.

It is a super-2 number, since 2×865313419412 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86531341931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114741 + ... + 431541.

It is an arithmetic number, because the mean of its divisors is an integer number (2965266720).

Almost surely, 286531341941 is an apocalyptic number.

It is an amenable number.

86531341941 is a deficient number, since it is larger than the sum of its proper divisors (55801460619).

86531341941 is a wasteful number, since it uses less digits than its factorization.

86531341941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316938 (or 316935 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 86531341941 in words is "eighty-six billion, five hundred thirty-one million, three hundred forty-one thousand, nine hundred forty-one".

Divisors: 1 3 9 11 31 33 89 93 99 267 279 341 801 979 1023 2759 2937 3069 8277 8811 24831 30349 91047 273141 316801 950403 2851209 3484811 9820831 10454433 28195289 29462493 31363299 84585867 88387479 108029141 253757601 310148179 324087423 874053959 930444537 972262269 2622161877 2791333611 7866485631 9614593549 28843780647 86531341941