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259906420434 = 231911339750821
BaseRepresentation
bin1111001000001110100…
…0010011111011010010
3220211212022210011012210
43302003220103323102
513224242020423214
6315222132332550
724530503056663
oct3620350237322
9824768704183
10259906420434
11a0253442581
1242456174156
131b68057302b
14c81837536a
156b6288eb59
hex3c83a13ed2

259906420434 has 64 divisors (see below), whose sum is σ = 553414988160. Its totient is φ = 81142871040.

The previous prime is 259906420391. The next prime is 259906420447. The reversal of 259906420434 is 434024609952.

259906420434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5088744 + ... + 5139564.

It is an arithmetic number, because the mean of its divisors is an integer number (8647109190).

Almost surely, 2259906420434 is an apocalyptic number.

259906420434 is an abundant number, since it is smaller than the sum of its proper divisors (293508567726).

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

259906420434 is a wasteful number, since it uses less digits than its factorization.

259906420434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51355.

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 259906420434 in words is "two hundred fifty-nine billion, nine hundred six million, four hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 113 114 226 339 397 678 794 1191 2147 2382 4294 6441 7543 12882 15086 22629 44861 45258 50821 89722 101642 134583 152463 269166 304926 852359 965599 1704718 1931198 2557077 2896797 5114154 5742773 5793594 11485546 17228319 20175937 34456638 40351874 60527811 109112687 121055622 218225374 327338061 383342803 654676122 766685606 1150028409 2279880881 2300056818 4559761762 6839642643 13679285286 43317736739 86635473478 129953210217 259906420434