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39505000010 = 25721711341969
BaseRepresentation
bin100100110010101011…
…100111011001001010
310202222011121221011112
4210302223213121022
51121401240000020
630052013130322
72565653650100
oct446253473112
9122864557145
1039505000010
11158325a7243
1277a61899a2
13395765b268
141caa957c70
15106330a2c5
hex932ae764a

39505000010 has 96 divisors (see below), whose sum is σ = 88361623440. Its totient is φ = 12634718208.

The previous prime is 39504999979. The next prime is 39505000043. The reversal of 39505000010 is 1000050593.

39505000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8577908689 + 30927091321 = 92617^2 + 175861^2 .

It is a super-3 number, since 3×395050000103 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39505000010.

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, 920306 + ... + 962274.

Almost surely, 239505000010 is an apocalyptic number.

39505000010 is an abundant number, since it is smaller than the sum of its proper divisors (48856623430).

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

39505000010 is a wasteful number, since it uses less digits than its factorization.

39505000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42120 (or 42113 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 23.

The spelling of 39505000010 in words is "thirty-nine billion, five hundred five million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 113 119 170 226 238 245 490 565 595 791 833 1130 1190 1582 1666 1921 3842 3955 4165 5537 7910 8330 9605 11074 13447 19210 26894 27685 41969 55370 67235 83938 94129 134470 188258 209845 293783 419690 470645 587566 713473 941290 1426946 1468915 2056481 2937830 3567365 4112962 4742497 4994311 7134730 9484994 9988622 10282405 20564810 23712485 24971555 33197479 34960177 47424970 49943110 66394958 69920354 80622449 161244898 165987395 174800885 232382353 331974790 349601770 403112245 464764706 564357143 806224490 1128714286 1161911765 2323823530 2821785715 3950500001 5643571430 7901000002 19752500005 39505000010