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426728312613 = 38415315661
BaseRepresentation
bin1100011010110101111…
…11010100111100100101
31111210110102121100000000
412031122333110330211
523442414422000423
6524011500411513
742554503544451
oct6153277247445
91453412540000
10426728312613
11154a7a00a259
126a852546b99
1331317c55035
1416921cc1661
15b1781b3843
hex635afd4f25

426728312613 has 36 divisors (see below), whose sum is σ = 640254948268. Its totient is φ = 284398879680.

The previous prime is 426728312611. The next prime is 426728312623. The reversal of 426728312613 is 316213827624.

426728312613 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 28 + 3 + 1 + 2 + 613 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216319870404 + 210408442209 = 465102^2 + 458703^2 .

It is not a de Polignac number, because 426728312613 - 21 = 426728312611 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426728312611) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 27240003 + ... + 27255663.

Almost surely, 2426728312613 is an apocalyptic number.

It is an amenable number.

426728312613 is a deficient number, since it is larger than the sum of its proper divisors (213526635655).

426728312613 is an frugal number, since it uses more digits than its factorization.

426728312613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 19817 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 426728312613 in words is "four hundred twenty-six billion, seven hundred twenty-eight million, three hundred twelve thousand, six hundred thirteen".

Divisors: 1 3 9 27 81 243 729 2187 4153 6561 12459 15661 37377 46983 112131 140949 336393 422847 1009179 1268541 3027537 3805623 9082611 11416869 27247833 34250607 65040133 102751821 195120399 585361197 1756083591 5268250773 15804752319 47414256957 142242770871 426728312613