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5005255505064 = 2332329322197073
BaseRepresentation
bin100100011010110000001…
…1110011111010010101000
3122201111102212021110000220
41020311200132133102220
51124001230402130224
614351214352130040
71024421616550263
oct110654036372250
918644385243026
105005255505064
11165a798278281
1268a075b36920
132a3cbbb42189
14134381757cda
158a2e8ce8279
hex48d6079f4a8

5005255505064 has 128 divisors (see below), whose sum is σ = 13511768889600. Its totient is φ = 1540354027520.

The previous prime is 5005255505057. The next prime is 5005255505069. The reversal of 5005255505064 is 4605055525005.

It is not an unprimeable number, because it can be changed into a prime (5005255505069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51513232 + ... + 51610304.

It is an arithmetic number, because the mean of its divisors is an integer number (105560694450).

Almost surely, 25005255505064 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 5005255505064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755884444800).

5005255505064 is an abundant number, since it is smaller than the sum of its proper divisors (8506513384536).

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

5005255505064 is a wasteful number, since it uses less digits than its factorization.

5005255505064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100355 (or 100351 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 42.

The spelling of 5005255505064 in words is "five trillion, five billion, two hundred fifty-five million, five hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 3221 4002 5336 6442 8004 9663 12884 16008 19326 25768 38652 74083 77304 93409 97073 148166 186818 194146 222249 280227 291219 296332 373636 388292 444498 560454 582438 592664 747272 776584 888996 1120908 1164876 1777992 2148407 2232679 2241816 2329752 2815117 4296814 4465358 5630234 6445221 6698037 8445351 8593628 8930716 11260468 12890442 13396074 16890702 17187256 17861432 22520936 25780884 26792148 33781404 51561768 53584296 64747691 67562808 129495382 194243073 258990764 312672133 388486146 517981528 625344266 776972292 938016399 1250688532 1553944584 1876032798 2501377064 3752065596 7191459059 7504131192 9067491857 14382918118 18134983714 21574377177 27202475571 28765836236 36269967428 43148754354 54404951142 57531672472 72539934856 86297508708 108809902284 172595017416 208552312711 217619804568 417104625422 625656938133 834209250844 1251313876266 1668418501688 2502627752532 5005255505064