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435714290050 = 252133037220721
BaseRepresentation
bin1100101011100101001…
…10000111000110000010
31112122122200022021200011
412111302212013012002
524114320324240200
6532055301215134
743323256233424
oct6256246070602
91478580267604
10435714290050
111588703a3096
127053ba014aa
133211a835850
14171354c6814
15b5020205ba
hex6572987182

435714290050 has 48 divisors (see below), whose sum is σ = 873060573672. Its totient is φ = 160825420800.

The previous prime is 435714289979. The next prime is 435714290057. The reversal of 435714290050 is 50092417534.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 28418879241 + 407295410809 = 168579^2 + 638197^2 .

It is a junction number, because it is equal to n+sod(n) for n = 435714289985 and 435714290012.

It is not an unprimeable number, because it can be changed into a prime (435714290057) by changing a digit.

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, 1863690 + ... + 2084410.

Almost surely, 2435714290050 is an apocalyptic number.

435714290050 is an abundant number, since it is smaller than the sum of its proper divisors (437346283622).

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

435714290050 is a wasteful number, since it uses less digits than its factorization.

435714290050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223783 (or 223778 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 435714290050 in words is "four hundred thirty-five billion, seven hundred fourteen million, two hundred ninety thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 3037 6074 15185 30370 39481 75925 78962 151850 197405 220721 394810 441442 987025 1103605 1974050 2207210 2869373 5518025 5738746 11036050 14346865 28693730 71734325 143468650 670329677 1340659354 3351648385 6703296770 8714285801 16758241925 17428571602 33516483850 43571429005 87142858010 217857145025 435714290050