Search a number
-
+
13055525964 = 2232131131731427
BaseRepresentation
bin11000010100010101…
…11000010001001100
31020200212021102202200
430022022320101030
5203214203312324
65555253121500
7641346065625
oct141212702114
936625242680
1013055525964
11559a55a988
122644329290
131300a433c0
148bbca0a4c
1551626dec9
hex30a2b844c

13055525964 has 144 divisors (see below), whose sum is σ = 36087079392. Its totient is φ = 3955746816.

The previous prime is 13055525957. The next prime is 13055525971. The reversal of 13055525964 is 46952555031.

13055525964 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 5 + 52 + 596 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13055525957) and next prime (13055525971).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9148219 + ... + 9149645.

It is an arithmetic number, because the mean of its divisors is an integer number (250604718).

Almost surely, 213055525964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13055525964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043539696).

13055525964 is an abundant number, since it is smaller than the sum of its proper divisors (23031553428).

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

13055525964 is a wasteful number, since it uses less digits than its factorization.

13055525964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 13055525964 in words is "thirteen billion, fifty-five million, five hundred twenty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 173 226 234 339 346 452 468 519 678 692 1017 1038 1356 1427 1469 1557 2034 2076 2249 2854 2938 3114 4068 4281 4407 4498 5708 5876 6228 6747 8562 8814 8996 12843 13221 13494 17124 17628 18551 19549 20241 25686 26442 26988 37102 39098 40482 51372 52884 55653 58647 74204 78196 80964 111306 117294 161251 166959 175941 222612 234588 246871 254137 322502 333918 351882 483753 493742 508274 645004 667836 703764 740613 762411 967506 987484 1016548 1451259 1481226 1524822 1935012 2096263 2221839 2287233 2902518 2962452 3049644 3209323 4192526 4443678 4574466 5805036 6288789 6418646 8385052 8887356 9148932 9627969 12577578 12837292 18866367 19255938 25155156 27896423 28883907 37732734 38511876 55792846 57767814 75465468 83689269 111585692 115535628 167378538 251067807 334757076 362653499 502135614 725306998 1004271228 1087960497 1450613996 2175920994 3263881491 4351841988 6527762982 13055525964