Search a number
-
+
642112211246 = 211437997101877
BaseRepresentation
bin10010101100000001101…
…11101100100100101110
32021101101220102001002212
421112000313230210232
541010021211224441
61210552101050422
764251065512052
oct11260067544456
92241356361085
10642112211246
11228355670170
12a45420b6a12
13487214b4abc
1423115199c62
1511a81eceeeb
hex9580dec92e

642112211246 has 128 divisors (see below), whose sum is σ = 1112156559360. Its totient is φ = 275498496000.

The previous prime is 642112211233. The next prime is 642112211261.

642112211246 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 732168560 + ... + 732169436.

It is an arithmetic number, because the mean of its divisors is an integer number (8688723120).

Almost surely, 2642112211246 is an apocalyptic number.

642112211246 is a deficient number, since it is larger than the sum of its proper divisors (470044348114).

642112211246 is a wasteful number, since it uses less digits than its factorization.

642112211246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 642112 and 211246, that added together give a palindrome (853358).

The spelling of 642112211246 in words is "six hundred forty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred forty-six".

Divisors: 1 2 11 22 43 79 86 97 101 158 194 202 473 869 877 946 1067 1111 1738 1754 2134 2222 3397 4171 4343 6794 7663 7979 8342 8686 9647 9797 15326 15958 19294 19594 37367 37711 45881 47773 69283 74734 75422 84293 85069 87769 88577 91762 95546 107767 138566 168586 170138 175538 177154 215534 329509 343097 414821 421271 659018 686194 762113 773963 829642 842542 935759 974347 1524226 1547926 1871518 1948694 2979169 3624599 3657967 3774067 3808811 4633981 5958338 6720451 6997583 7249198 7315934 7548134 7617622 8513593 8591969 9267962 13440902 13995166 17027186 17183938 32770859 33280409 40237637 41896921 65541718 66560818 73924961 76973413 80475274 83793842 94511659 147849922 153946826 189023318 288979393 300896069 366084499 369454667 577958786 601792138 678765551 732168998 738909334 1357531102 3178773323 3309856759 4064001337 6357546646 6619713518 7466421061 8128002674 14932842122 29186918693 58373837386 321056105623 642112211246