Search a number
-
+
973397579901012 = 22347538097880103
BaseRepresentation
bin1101110101010011001100100…
…0111110011010100001010100
311201122111220021222110102010000
43131110303020332122201110
52010041121220423313022
613330124401440531300
7412013440311254250
oct33524631076324124
94648456258412100
10973397579901012
11262177660482452
129120ab80020b30
1332a1acc8581516
14132529a1013260
157780488e686ac
hex3754cc8f9a854

973397579901012 has 120 divisors (see below), whose sum is σ = 2963046721574016. Its totient is φ = 272866167916992.

The previous prime is 973397579901007. The next prime is 973397579901023. The reversal of 973397579901012 is 210109975793379.

973397579901012 is a `hidden beast` number, since 9 + 7 + 3 + 39 + 7 + 579 + 9 + 0 + 1 + 0 + 12 = 666.

973397579901012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4048819848 + ... + 4049060255.

Almost surely, 2973397579901012 is an apocalyptic number.

It is an amenable number.

973397579901012 is an abundant number, since it is smaller than the sum of its proper divisors (1989649141673004).

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

973397579901012 is a wasteful number, since it uses less digits than its factorization.

973397579901012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097880179 (or 8097880168 counting only the distinct ones).

The product of its (nonzero) digits is 202538070, while the sum is 72.

The spelling of 973397579901012 in words is "nine hundred seventy-three trillion, three hundred ninety-seven billion, five hundred seventy-nine million, nine hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3339 4293 4452 5724 6678 8586 10017 13356 17172 20034 30051 40068 60102 120204 8097880103 16195760206 24293640309 32391520412 48587280618 56685160721 72880920927 97174561236 113370321442 145761841854 170055482163 218642762781 226740642884 291523683708 340110964326 429187645459 437285525562 510166446489 655928288343 680221928652 858375290918 874571051124 1020332892978 1287562936377 1311856576686 1530499339467 1716750581836 2040665785956 2575125872754 2623713153372 3004313518213 3060998678934 3862688809131 4591498018401 5150251745508 6008627036426 6121997357868 7725377618262 9012940554639 9182996036802 11588066427393 12017254072852 15450755236524 18025881109278 18365992073604 23176132854786 27038821663917 34764199282179 36051762218556 46352265709572 54077643327834 69528398564358 81116464991751 108155286655668 139056797128716 162232929983502 243349394975253 324465859967004 486698789950506 973397579901012