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534131131435 = 51143322428349
BaseRepresentation
bin1111100010111001011…
…00100100010000101011
31220001200111221211120121
413301130230210100223
532222400032201220
61045213151504111
753406160464226
oct7613454442053
91801614854517
10534131131435
1119658410a740
1287627528037
133b4a3358035
141bbd01985bd
15dd62285eaa
hex7c5cb2442b

534131131435 has 16 divisors (see below), whose sum is σ = 700841080800. Its totient is φ = 387561853440.

The previous prime is 534131131397. The next prime is 534131131453.

534131131435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 534131131435 - 27 = 534131131307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 534131131435.

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, 11190360 + ... + 11237989.

It is an arithmetic number, because the mean of its divisors is an integer number (43802567550).

Almost surely, 2534131131435 is an apocalyptic number.

534131131435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

534131131435 is a deficient number, since it is larger than the sum of its proper divisors (166709949365).

534131131435 is a wasteful number, since it uses less digits than its factorization.

534131131435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22428798.

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 534131 and 131435, that added together give a palindrome (665566).

The spelling of 534131131435 in words is "five hundred thirty-four billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred thirty-five".

Divisors: 1 5 11 55 433 2165 4763 23815 22428349 112141745 246711839 1233559195 9711475117 48557375585 106826226287 534131131435