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86212633621268 = 22711247541414213
BaseRepresentation
bin10011100110100011110001…
…011001101111001100010100
3102022020211212200001201100102
4103212203301121233030110
542300001433201340033
6503205312004033232
724105441300441560
oct2346436131571424
9368224780051312
1086212633621268
1125519633136400
129804704692818
133914a7ca1390b
1417409dc69c6a0
159e78c6025de8
hex4e68f166f314

86212633621268 has 72 divisors (see below), whose sum is σ = 193557747161856. Its totient is φ = 32874670952640.

The previous prime is 86212633621267. The next prime is 86212633621327.

86212633621268 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86212633621267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270547871 + ... + 270866342.

Almost surely, 286212633621268 is an apocalyptic number.

It is an amenable number.

86212633621268 is an abundant number, since it is smaller than the sum of its proper divisors (107345113540588).

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

86212633621268 is a wasteful number, since it uses less digits than its factorization.

86212633621268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541414293 (or 541414280 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 56.

The spelling of 86212633621268 in words is "eighty-six trillion, two hundred twelve billion, six hundred thirty-three million, six hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 121 154 188 242 308 329 484 517 658 847 1034 1316 1694 2068 3388 3619 5687 7238 11374 14476 22748 39809 79618 159236 541414213 1082828426 2165656852 3789899491 5955556343 7579798982 11911112686 15159597964 23822225372 25446468011 41688894401 50892936022 65511119773 83377788802 101785872044 131022239546 166755577604 178125276077 262044479092 279911148121 356250552154 458577838411 559822296242 712501104308 917155676822 1119644592484 1834311353644 1959378036847 3079022629331 3918756073694 6158045258662 7837512147388 12316090517324 21553158405317 43106316810634 86212633621268