Search a number
-
+
4570206186656 = 2511611433148531
BaseRepresentation
bin100001010000001010110…
…0001000010110010100000
3121011220111112020012222002
41002200111201002302200
51044334240240433111
613415305043303132
7651120653424425
oct102402541026240
917156445205862
104570206186656
11150223927a230
126198a097aaa8
13271c79003096
1411b2b06cbd4c
157dd3537b63b
hex42815842ca0

4570206186656 has 96 divisors (see below), whose sum is σ = 9983496390336. Its totient is φ = 2041871616000.

The previous prime is 4570206186631. The next prime is 4570206186659. The reversal of 4570206186656 is 6566816020754.

It is a super-2 number, since 2×45702061866562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4570206186659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30695111 + ... + 30843641.

It is an arithmetic number, because the mean of its divisors is an integer number (103994754066).

Almost surely, 24570206186656 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 4570206186656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991748195168).

4570206186656 is an abundant number, since it is smaller than the sum of its proper divisors (5413290203680).

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

4570206186656 is a wasteful number, since it uses less digits than its factorization.

4570206186656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150046 (or 150038 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 4570206186656 in words is "four trillion, five hundred seventy billion, two hundred six million, one hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1433 1952 2684 2866 5368 5732 10736 11464 15763 21472 22928 31526 45856 63052 87413 126104 148531 174826 252208 297062 349652 504416 594124 699304 961543 1188248 1398608 1633841 1923086 2376496 2797216 3267682 3846172 4752992 6535364 7692344 9060391 13070728 15384688 18120782 26141456 30769376 36241564 52282912 72483128 99664301 144966256 199328602 212844923 289932512 398657204 425689846 797314408 851379692 1594628816 1702759384 2341294153 3189257632 3405518768 4682588306 6811037536 9365176612 12983540303 18730353224 25967080606 37460706448 51934161212 74921412896 103868322424 142818943333 207736644848 285637886666 415473289696 571275773332 1142551546664 2285103093328 4570206186656