Search a number
-
+
489937830564 = 2237213125950909
BaseRepresentation
bin1110010000100101001…
…00100000001010100100
31201211121121110112200110
413020102210200022210
531011343041034224
61013024020013020
750253054563400
oct7102244401244
91654547415613
10489937830564
11179866150696
127ab53231170
133727c604070
14199dab1a100
15cb27594929
hex72129202a4

489937830564 has 144 divisors (see below), whose sum is σ = 1433291630400. Its totient is φ = 129109204224.

The previous prime is 489937830541. The next prime is 489937830587. The reversal of 489937830564 is 465038739984.

It is an interprime number because it is at equal distance from previous prime (489937830541) and next prime (489937830587).

It is a super-3 number, since 3×4899378305643 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 489937830495 and 489937830504.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9598342 + ... + 9649250.

It is an arithmetic number, because the mean of its divisors is an integer number (9953414100).

Almost surely, 2489937830564 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 489937830564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716645815200).

489937830564 is an abundant number, since it is smaller than the sum of its proper divisors (943353799836).

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

489937830564 is a wasteful number, since it uses less digits than its factorization.

489937830564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52202 (or 52193 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 489937830564 in words is "four hundred eighty-nine billion, nine hundred thirty-seven million, eight hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1259 1274 1911 2518 2548 3777 3822 5036 7554 7644 8813 15108 16367 17626 26439 32734 35252 49101 50909 52878 61691 65468 98202 101818 105756 114569 123382 152727 185073 196404 203636 229138 246764 305454 343707 356363 370146 458276 610908 661817 687414 712726 740292 801983 1069089 1323634 1374828 1425452 1603966 1985451 2138178 2405949 2494541 2647268 3207932 3970902 4276356 4632719 4811898 4989082 7483623 7941804 9265438 9623796 9978164 13898157 14967246 18530876 27796314 29934492 32429033 55592628 64094431 64858066 97287099 128188862 129716132 192283293 194574198 256377724 384566586 389148396 448661017 769133172 833227603 897322034 1345983051 1666455206 1794644068 2499682809 2691966102 3140627119 3332910412 4999365618 5383932204 5832593221 6281254238 9421881357 9998731236 11665186442 12562508476 17497779663 18843762714 23330372884 34995559326 37687525428 40828152547 69991118652 81656305094 122484457641 163312610188 244968915282 489937830564