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6814640053 = 1341103312377
BaseRepresentation
bin1100101100010111…
…10010011110110101
3122120220221120202001
412112023302132311
5102424021440203
63044113215301
7330605325154
oct62613623665
918526846661
106814640053
112987760a31
1213a2261531
13847aa64c0
144890a959b
1529d40291d
hex1962f27b5

6814640053 has 16 divisors (see below), whose sum is σ = 7525724976. Its totient is φ = 6130575360.

The previous prime is 6814640047. The next prime is 6814640101. The reversal of 6814640053 is 3500464186.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1025408484 + 5789231569 = 32022^2 + 76087^2 .

It is a de Polignac number, because none of the positive numbers 2k-6814640053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6814639994 and 6814640021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814640003) by changing a digit.

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, 544401 + ... + 556777.

It is an arithmetic number, because the mean of its divisors is an integer number (470357811).

Almost surely, 26814640053 is an apocalyptic number.

It is an amenable number.

6814640053 is a deficient number, since it is larger than the sum of its proper divisors (711084923).

6814640053 is a wasteful number, since it uses less digits than its factorization.

6814640053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13464.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 6814640053 is about 82550.8331454020. The cubic root of 6814640053 is about 1895.8951132618.

The spelling of 6814640053 in words is "six billion, eight hundred fourteen million, six hundred forty thousand, fifty-three".

Divisors: 1 13 41 533 1033 12377 13429 42353 160901 507457 550589 6596941 12785441 166210733 524203081 6814640053