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641424566442 = 231129967346559
BaseRepresentation
bin10010101010101111110…
…00100010100010101010
32021022121222111001202210
421111113320202202222
541002114142111232
61210355534305550
764225045566522
oct11252770424252
92238558431683
10641424566442
1122803249a480
12a438b9582b6
1348641bb029a
142308bb1a682
1511a4194d5cc
hex9557e228aa

641424566442 has 64 divisors (see below), whose sum is σ = 1449230745600. Its totient is φ = 187474015680.

The previous prime is 641424566407. The next prime is 641424566459. The reversal of 641424566442 is 244665424146.

It is a super-2 number, since 2×6414245664422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641424566391 and 641424566400.

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 31 ways as a sum of consecutive naturals, for example, 1677559 + ... + 2024117.

It is an arithmetic number, because the mean of its divisors is an integer number (22644230400).

Almost surely, 2641424566442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641424566442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724615372800).

641424566442 is an abundant number, since it is smaller than the sum of its proper divisors (807806179158).

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

641424566442 is a wasteful number, since it uses less digits than its factorization.

641424566442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347571.

The product of its digits is 4423680, while the sum is 48.

The spelling of 641424566442 in words is "six hundred forty-one billion, four hundred twenty-four million, five hundred sixty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 967 1914 1934 2901 5802 10637 21274 28043 31911 56086 63822 84129 168258 308473 346559 616946 693118 925419 1039677 1850838 2079354 3812149 7624298 10050211 11436447 20100422 22872894 30150633 60301266 110552321 221104642 331656963 335122553 663313926 670245106 1005367659 2010735318 3686348083 7372696166 9718554037 11059044249 19437108074 22118088498 29155662111 58311324222 106904094407 213808188814 320712283221 641424566442