Search a number
-
+
42217872216 = 233131769111519
BaseRepresentation
bin100111010100011000…
…011001101101011000
311000222020101010012220
4213110120121231120
51142430233402331
631221123304040
73023124664362
oct472430315530
9130866333186
1042217872216
11169a4985293
12822281b020
133c9a7009a0
142086d7bd32
151171584296
hex9d4619b58

42217872216 has 128 divisors (see below), whose sum is σ = 120534220800. Its totient is φ = 12207237120.

The previous prime is 42217872211. The next prime is 42217872283. The reversal of 42217872216 is 61227871224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42217872211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3659305 + ... + 3670823.

It is an arithmetic number, because the mean of its divisors is an integer number (941673600).

Almost surely, 242217872216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42217872216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60267110400).

42217872216 is an abundant number, since it is smaller than the sum of its proper divisors (78316348584).

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

42217872216 is a wasteful number, since it uses less digits than its factorization.

42217872216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249 (or 12245 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The spelling of 42217872216 in words is "forty-two billion, two hundred seventeen million, eight hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 691 884 1326 1382 1768 2073 2652 2764 4146 5304 5528 8292 8983 11519 11747 16584 17966 23038 23494 26949 34557 35241 35932 46076 46988 53898 69114 70482 71864 92152 93976 107796 138228 140964 149747 152711 195823 215592 276456 281928 299494 305422 391646 449241 458133 587469 598988 610844 783292 898482 916266 1174938 1197976 1221688 1566584 1796964 1832532 2349876 2545699 3593928 3665064 4699752 5091398 7637097 7959629 10182796 15274194 15919258 20365592 23878887 30548388 31838516 47757774 61096776 63677032 95515548 103475177 135313693 191031096 206950354 270627386 310425531 405941079 413900708 541254772 620851062 811882158 827801416 1082509544 1241702124 1623764316 1759078009 2483404248 3247528632 3518156018 5277234027 7036312036 10554468054 14072624072 21108936108 42217872216