Search a number
-
+
612622245444 = 2231121997228929
BaseRepresentation
bin10001110101000110010…
…00011001111001000100
32011120021200211120010020
420322203020121321010
540014122243323234
61145233524455140
762155231111266
oct10724310317104
92146250746106
10612622245444
112168a2317400
129a891b4a4b0
1345a019a90b1
1421918799b36
1510e08052549
hex8ea3219e44

612622245444 has 144 divisors (see below), whose sum is σ = 1670969227200. Its totient is φ = 174058536960.

The previous prime is 612622245439. The next prime is 612622245449. The reversal of 612622245444 is 444542226216.

It is an interprime number because it is at equal distance from previous prime (612622245439) and next prime (612622245449).

It is a super-2 number, since 2×6126222454442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 612622245396 and 612622245405.

It is not an unprimeable number, because it can be changed into a prime (612622245449) 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 47 ways as a sum of consecutive naturals, for example, 2561572 + ... + 2790500.

Almost surely, 2612622245444 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 612622245444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835484613600).

612622245444 is an abundant number, since it is smaller than the sum of its proper divisors (1058346981756).

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

612622245444 is a wasteful number, since it uses less digits than its factorization.

612622245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229074 (or 229061 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The spelling of 612622245444 in words is "six hundred twelve billion, six hundred twenty-two million, two hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 97 114 121 132 194 209 228 242 291 363 388 418 484 582 627 726 836 1067 1164 1254 1452 1843 2134 2299 2508 3201 3686 4268 4598 5529 6402 6897 7372 9196 11058 11737 12804 13794 20273 22116 23474 27588 35211 40546 46948 60819 70422 81092 121638 140844 223003 228929 243276 446006 457858 669009 686787 892012 915716 1338018 1373574 2518219 2676036 2747148 4349651 5036438 7554657 8699302 10072876 13048953 15109314 17398604 22206113 26097906 27700409 30218628 44412226 47846161 52195812 55400818 66618339 83101227 88824452 95692322 110801636 133236678 143538483 166202454 191384644 244267243 266473356 287076966 332404908 421916147 488534486 526307771 574153932 732801729 843832294 977068972 1052615542 1265748441 1465603458 1578923313 1687664588 2105231084 2531496882 2686939673 2931206916 3157846626 4641077617 5062993764 5373879346 6315693252 8060819019 9282155234 10747758692 13923232851 16121638038 18564310468 27846465702 32243276076 51051853787 55692931404 102103707574 153155561361 204207415148 306311122722 612622245444