Search a number
-
+
5643201651054 = 2311237832531099
BaseRepresentation
bin101001000011110100100…
…0001111010000101101110
3201222111002102111102222120
41102013221001322011232
51214424234110313204
620000241232053410
71121464540405452
oct122075101720556
921874072442876
105643201651054
1118862a5239a00
12771834994266
1331c1c81a01b6
141571bd4d2662
159bbd519d6d9
hex521e907a16e

5643201651054 has 96 divisors (see below), whose sum is σ = 12894516835200. Its totient is φ = 1643796285120.

The previous prime is 5643201651011. The next prime is 5643201651067. The reversal of 5643201651054 is 4501561023465.

It is a junction number, because it is equal to n+sod(n) for n = 5643201650997 and 5643201651015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963997 + ... + 3495095.

It is an arithmetic number, because the mean of its divisors is an integer number (134317883700).

Almost surely, 25643201651054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5643201651054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447258417600).

5643201651054 is an abundant number, since it is smaller than the sum of its proper divisors (7251315184146).

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

5643201651054 is a wasteful number, since it uses less digits than its factorization.

5643201651054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531246 (or 2531235 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 5643201651054 in words is "five trillion, six hundred forty-three billion, two hundred one million, six hundred fifty-one thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 83 111 121 166 222 242 249 363 407 498 726 814 913 1221 1826 2442 2739 3071 4477 5478 6142 8954 9213 10043 13431 18426 20086 26862 30129 33781 60258 67562 101343 202686 371591 743182 1114773 2229546 2531099 5062198 7593297 15186594 27842089 55684178 83526267 93650663 167052534 187301326 210081217 280951989 306262979 420162434 561903978 612525958 630243651 918788937 1030157293 1260487302 1837577874 2060314586 2310893387 3090471879 4621786774 6180943758 6932680161 7773005029 11331730223 13865360322 15546010058 22663460446 23319015087 25419827257 33995190669 46638030174 50839654514 67990381338 76259481771 85503055319 152518963542 171006110638 256509165957 513018331914 940533608509 1881067217018 2821600825527 5643201651054