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83135488453138 = 21147374932144449
BaseRepresentation
bin10010111001110001111101…
…010000011110101000010010
3101220100200020010112212000001
4102321301331100132220102
541344042440021000023
6452451525515520214
723340224622202042
oct2271617520365022
9356320203485001
1083135488453138
1124542620992030
1293a826aa5906a
133750848666944
141675ac9c45722
15992828c7e6ad
hex4b9c7d41ea12

83135488453138 has 32 divisors (see below), whose sum is σ = 138938126342400. Its totient is φ = 36983836431360.

The previous prime is 83135488453117. The next prime is 83135488453183.

It is a happy number.

83135488453138 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 83135488453138.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37695538 + ... + 39839986.

It is an arithmetic number, because the mean of its divisors is an integer number (4341816448200).

Almost surely, 283135488453138 is an apocalyptic number.

83135488453138 is a deficient number, since it is larger than the sum of its proper divisors (55802637889262).

83135488453138 is a wasteful number, since it uses less digits than its factorization.

83135488453138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182002.

The product of its digits is 132710400, while the sum is 64.

The spelling of 83135488453138 in words is "eighty-three trillion, one hundred thirty-five billion, four hundred eighty-eight million, four hundred fifty-three thousand, one hundred thirty-eight".

Divisors: 1 2 11 22 47 94 517 1034 37493 74986 412423 824846 1762171 2144449 3524342 4288898 19383881 23588939 38767762 47177878 100789103 201578206 1108680133 2217360266 80401826357 160803652714 884420089927 1768840179854 3778885838779 7557771677558 41567744226569 83135488453138