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78226812216 = 23327374194917
BaseRepresentation
bin100100011011010101…
…1100110110100111000
321110220202112210122100
41020312223212310320
52240202030442331
655534212023400
75436350634630
oct1106653466470
9243822483570
1078226812216
11301a2aa5933
12131b2001b60
1374b8971a87
143b014816c0
15207c9aeae6
hex1236ae6d38

78226812216 has 96 divisors (see below), whose sum is σ = 248674739040. Its totient is φ = 21746444544.

The previous prime is 78226812137. The next prime is 78226812233. The reversal of 78226812216 is 61221862287.

It is a super-2 number, since 2×782268122162 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2078811 + ... + 2116106.

It is an arithmetic number, because the mean of its divisors is an integer number (2590361865).

Almost surely, 278226812216 is an apocalyptic number.

It is an amenable number.

78226812216 is an abundant number, since it is smaller than the sum of its proper divisors (170447926824).

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

78226812216 is a wasteful number, since it uses less digits than its factorization.

78226812216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194973 (or 4194966 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 78226812216 in words is "seventy-eight billion, two hundred twenty-six million, eight hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 4194917 8389834 12584751 16779668 25169502 29364419 33559336 37754253 50339004 58728838 75508506 88093257 100678008 117457676 151017012 155211929 176186514 234915352 264279771 302034024 310423858 352373028 465635787 528559542 620847716 704746056 931271574 1057119084 1086483503 1241695432 1396907361 1862543148 2114238168 2172967006 2793814722 3259450509 3725086296 4345934012 5587629444 6518901018 8691868024 9778351527 11175258888 13037802036 19556703054 26075604072 39113406108 78226812216