Search a number
-
+
6700828446013 = 133129722692437
BaseRepresentation
bin110000110000010100001…
…1111111100110100111101
3212201121000020220100220211
41201200220133330310331
51334241244040233023
622130152412512421
71261055530005202
oct141405037746475
925647006810824
106700828446013
112153894a70879
129027b9a7b711
13397b6832c480
14192471145ca9
15b9485b35a0d
hex618287fcd3d

6700828446013 has 48 divisors (see below), whose sum is σ = 7539853686960. Its totient is φ = 5919101153280.

The previous prime is 6700828446007. The next prime is 6700828446071. The reversal of 6700828446013 is 3106448280076.

It can be written as a sum of positive squares in 8 ways, for example, as 374205028729 + 6326623417284 = 611723^2 + 2515278^2 .

It is not a de Polignac number, because 6700828446013 - 221 = 6700826348861 is a prime.

It is a super-2 number, since 2×67008284460132 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700828446073) 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 47 ways as a sum of consecutive naturals, for example, 2749620631 + ... + 2749623067.

It is an arithmetic number, because the mean of its divisors is an integer number (157080285145).

Almost surely, 26700828446013 is an apocalyptic number.

It is an amenable number.

6700828446013 is a deficient number, since it is larger than the sum of its proper divisors (839025240947).

6700828446013 is a wasteful number, since it uses less digits than its factorization.

6700828446013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 6700828446013 in words is "six trillion, seven hundred billion, eight hundred twenty-eight million, four hundred forty-six thousand, thirteen".

Divisors: 1 13 31 97 403 961 1261 2269 2437 3007 12493 29497 31681 39091 70339 75547 93217 220093 236389 914407 982111 1211821 2180509 2341957 2861209 3073057 5529553 6822883 7328059 28346617 30445441 71884189 88697479 95264767 171416143 211509373 227169829 536366641 2228409859 2749621849 2953207777 5313900433 6972766333 16627365871 69080705629 216155756323 515448342001 6700828446013