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82413855324477 = 3241772192265989
BaseRepresentation
bin10010101111010001111000…
…100100100011100100111101
3101210210200120021111122122200
4102233101320210203210331
541300232033430340402
6451140222533302113
723234130106622415
oct2257217044434475
9353720507448580
1082413855324477
1124294579895706
1292b0435494939
1336ca79338a271
14164cbcd7bd645
1597db908b621c
hex4af47892393d

82413855324477 has 12 divisors (see below), whose sum is σ = 119070734980860. Its totient is φ = 54929416595328.

The previous prime is 82413855324443. The next prime is 82413855324481. The reversal of 82413855324477 is 77442355831428.

82413855324477 is a `hidden beast` number, since 8 + 2 + 4 + 1 + 3 + 8 + 553 + 2 + 4 + 4 + 77 = 666.

82413855324477 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 66035597760441 + 16378257564036 = 8126229^2 + 4047006^2 .

It is not a de Polignac number, because 82413855324477 - 210 = 82413855323453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82413855328477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096095402 + ... + 1096170587.

It is an arithmetic number, because the mean of its divisors is an integer number (9922561248405).

Almost surely, 282413855324477 is an apocalyptic number.

It is an amenable number.

82413855324477 is a deficient number, since it is larger than the sum of its proper divisors (36656879656383).

82413855324477 is a wasteful number, since it uses less digits than its factorization.

82413855324477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192270172 (or 2192270169 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 82413855324477 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-five million, three hundred twenty-four thousand, four hundred seventy-seven".

Divisors: 1 3 9 4177 12531 37593 2192265989 6576797967 19730393901 9157095036053 27471285108159 82413855324477