Search a number
-
+
7066850544 = 24321313128817
BaseRepresentation
bin1101001010011011…
…11001010011110000
3200020111112012111100
412211031321103300
5103433103204134
63125123044400
7340060144545
oct64515712360
920214465440
107066850544
112aa7064456
121452810700
13888111090
144b079cbcc
152b5621999
hex1a53794f0

7066850544 has 120 divisors (see below), whose sum is σ = 21462032592. Its totient is φ = 2157742080.

The previous prime is 7066850521. The next prime is 7066850573. The reversal of 7066850544 is 4450586607.

It is a super-2 number, since 2×70668505442 = 99880753222466191872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7066850544.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 230824 + ... + 259640.

Almost surely, 27066850544 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 7066850544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10731016296).

7066850544 is an abundant number, since it is smaller than the sum of its proper divisors (14395182048).

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

7066850544 is a wasteful number, since it uses less digits than its factorization.

7066850544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28975 (or 28966 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7066850544 is about 84064.5617605897. The cubic root of 7066850544 is about 1919.0014469086.

The spelling of 7066850544 in words is "seven billion, sixty-six million, eight hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 524 624 786 936 1048 1179 1572 1703 1872 2096 2358 3144 3406 4716 5109 6288 6812 9432 10218 13624 15327 18864 20436 27248 28817 30654 40872 57634 61308 81744 86451 115268 122616 172902 230536 245232 259353 345804 374621 461072 518706 691608 749242 1037412 1123863 1383216 1498484 2074824 2247726 2996968 3371589 3775027 4149648 4495452 5993936 6743178 7550054 8990904 11325081 13486356 15100108 17981808 22650162 26972712 30200216 33975243 45300324 49075351 53945424 60400432 67950486 90600648 98150702 135900972 147226053 181201296 196301404 271801944 294452106 392602808 441678159 543603888 588904212 785205616 883356318 1177808424 1766712636 2355616848 3533425272 7066850544