Search a number
-
+
5469339645 = 335711677853
BaseRepresentation
bin1010001011111111…
…10111111111111101
3112010011112020112000
411011333313333331
542200122332040
62302414532513
7252351422430
oct50577677775
915104466460
105469339645
112357332910
121087807139
1369216a263
1439c555817
15220265130
hex145ff7ffd

5469339645 has 128 divisors (see below), whose sum is σ = 12305018880. Its totient is φ = 2238762240.

The previous prime is 5469339643. The next prime is 5469339647.

5469339645 is a `hidden beast` number, since 546 + 9 + 3 + 3 + 96 + 4 + 5 = 666.

5469339645 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5469339643) and next prime (5469339647).

It is not a de Polignac number, because 5469339645 - 21 = 5469339643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5469339591 and 5469339600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5469339643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 692539 + ... + 700391.

It is an arithmetic number, because the mean of its divisors is an integer number (96132960).

Almost surely, 25469339645 is an apocalyptic number.

5469339645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5469339645 is an abundant number, since it is smaller than the sum of its proper divisors (6835679235).

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

5469339645 is a wasteful number, since it uses less digits than its factorization.

5469339645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7946 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 5469339645 is about 73954.9839091322. The cubic root of 5469339645 is about 1761.8880011895. Note that the first 3 decimals are identical.

The spelling of 5469339645 in words is "five billion, four hundred sixty-nine million, three hundred thirty-nine thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 67 77 99 105 135 165 189 201 231 297 315 335 385 469 495 603 693 737 945 1005 1155 1407 1485 1809 2079 2211 2345 3015 3465 3685 4221 5159 6633 7035 7853 9045 10395 11055 12663 15477 19899 21105 23559 25795 33165 39265 46431 54971 63315 70677 77385 86383 99495 117795 139293 164913 212031 232155 259149 274855 353385 431915 494739 526151 604681 696465 777447 824565 1060155 1295745 1484217 1578453 1814043 2332341 2473695 2630755 3023405 3683057 3887235 4735359 5442129 5787661 7421085 7892265 9070215 11049171 11661705 14206077 16326387 17362983 18415285 23676795 27210645 28938305 33147513 40513627 52088949 55245855 71030385 81631935 86814915 99442539 121540881 156266847 165737565 202568135 260444745 364622643 497212695 607704405 781334235 1093867929 1823113215 5469339645