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82948834966168 = 231741126971171619
BaseRepresentation
bin10010110111000100000111…
…110101111011101010011000
3101212200211102221002021111001
4102313010013311323222120
541333013203222404133
6452230100235514344
723320566312554533
oct2267040765735230
9355624387067431
1082948834966168
1124480448959696
129378058bb89b4
133739070451472
14166aa6052da1a
1598ca523a787d
hex4b7107d7ba98

82948834966168 has 64 divisors (see below), whose sum is σ = 168707796818400. Its totient is φ = 38079647047680.

The previous prime is 82948834966163. The next prime is 82948834966169. The reversal of 82948834966168 is 86166943884928.

It is a Harshad number since it is a multiple of its sum of digits (82).

It is a junction number, because it is equal to n+sod(n) for n = 82948834966091 and 82948834966100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82948834966163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70212663 + ... + 71384281.

Almost surely, 282948834966168 is an apocalyptic number.

It is an amenable number.

82948834966168 is an abundant number, since it is smaller than the sum of its proper divisors (85758961852232).

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

82948834966168 is a wasteful number, since it uses less digits than its factorization.

82948834966168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184380 (or 1184376 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 82.

The spelling of 82948834966168 in words is "eighty-two trillion, nine hundred forty-eight billion, eight hundred thirty-four million, nine hundred sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 697 1394 2788 5576 12697 25394 50788 101576 215849 431698 520577 863396 1041154 1171619 1726792 2082308 2343238 4164616 4686476 8849809 9372952 17699618 19917523 35399236 39835046 48036379 70798472 79670092 96072758 159340184 192145516 384291032 816618443 1633236886 3266473772 6532947544 14876046443 29752092886 59504185772 119008371544 252892789531 505785579062 609917904163 1011571158124 1219835808326 2023142316248 2439671616652 4879343233304 10368604370771 20737208741542 41474417483084 82948834966168