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105339635514 = 2331979902203
BaseRepresentation
bin110001000011010111…
…0110100011100111010
3101001220022002221011000
41202012232310130322
53211213421314024
6120220425545430
710416262061661
oct1420656643472
9331808087130
10105339635514
1140746529313
12184ba045276
139c19b35a99
145154291dd8
152b17dcdcc9
hex1886bb473a

105339635514 has 32 divisors (see below), whose sum is σ = 235276367040. Its totient is φ = 34934968656.

The previous prime is 105339635497. The next prime is 105339635563. The reversal of 105339635514 is 415536933501.

105339635514 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 9 + 635 + 5 + 1 + 4 = 666.

It is a super-2 number, since 2×1053396355142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105339635514.

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 15 ways as a sum of consecutive naturals, for example, 4940464 + ... + 4961739.

It is an arithmetic number, because the mean of its divisors is an integer number (7352386470).

Almost surely, 2105339635514 is an apocalyptic number.

105339635514 is an abundant number, since it is smaller than the sum of its proper divisors (129936731526).

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

105339635514 is a wasteful number, since it uses less digits than its factorization.

105339635514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902411 (or 9902405 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 105339635514 in words is "one hundred five billion, three hundred thirty-nine million, six hundred thirty-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 197 394 591 1182 1773 3546 5319 10638 9902203 19804406 29706609 59413218 89119827 178239654 267359481 534718962 1950733991 3901467982 5852201973 11704403946 17556605919 35113211838 52669817757 105339635514