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5032536352305 = 357119744919323
BaseRepresentation
bin100100100111011101010…
…0010101010011000110001
3122211002212010000002001120
41021032322202222120301
51124423113301233210
614411525411252453
71026405641123130
oct111167242523061
918732763002046
105032536352305
111670317633620
1269340a2aa129
132a6748a75c37
1413580c9c5917
158ad93d57270
hex493ba8aa631

5032536352305 has 64 divisors (see below), whose sum is σ = 10142424004608. Its totient is φ = 2069882357760.

The previous prime is 5032536352273. The next prime is 5032536352313.

5032536352305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5032536352305 - 25 = 5032536352273 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22347627 + ... + 22571696.

It is an arithmetic number, because the mean of its divisors is an integer number (158475375072).

Almost surely, 25032536352305 is an apocalyptic number.

5032536352305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5032536352305 is an abundant number, since it is smaller than the sum of its proper divisors (5109887652303).

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

5032536352305 is a wasteful number, since it uses less digits than its factorization.

5032536352305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44919446.

The product of its (nonzero) digits is 1215000, while the sum is 42.

The spelling of 5032536352305 in words is "five trillion, thirty-two billion, five hundred thirty-six million, three hundred fifty-two thousand, three hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 97 105 165 231 291 385 485 679 1067 1155 1455 2037 3201 3395 5335 7469 10185 16005 22407 37345 112035 44919323 134757969 224596615 314435261 494112553 673789845 943305783 1482337659 1572176305 2470562765 3458787871 4357174331 4716528915 7411688295 10376363613 13071522993 17293939355 21785871655 30500220317 47928917641 51881818065 65357614965 91500660951 143786752923 152501101585 239644588205 335502423487 457503304755 718933764615 1006507270461 1677512117435 5032536352305