Search a number
-
+
6614360064325 = 52133710921412357
BaseRepresentation
bin110000001000000011010…
…0101010000000101000101
3212102022211010101110100201
41200100012211100011011
51331332202134024300
622022332311210501
71251605002620016
oct140200645200505
925368733343321
106614360064325
112120152902902
128a9aa7976a31
1338c968097290
1418c1cb2b700d
15b70c485e66a
hex60406950145

6614360064325 has 96 divisors (see below), whose sum is σ = 9162822604320. Its totient is φ = 4704641740800.

The previous prime is 6614360064317. The next prime is 6614360064427. The reversal of 6614360064325 is 5234600634166.

It can be written as a sum of positive squares in 48 ways, for example, as 5114771235396 + 1499588828929 = 2261586^2 + 1224577^2 .

It is not a de Polignac number, because 6614360064325 - 23 = 6614360064317 is a prime.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2806261047 + ... + 2806263403.

It is an arithmetic number, because the mean of its divisors is an integer number (95446068795).

Almost surely, 26614360064325 is an apocalyptic number.

6614360064325 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6614360064325 is a deficient number, since it is larger than the sum of its proper divisors (2548462539995).

6614360064325 is a wasteful number, since it uses less digits than its factorization.

6614360064325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 6614360064325 in words is "six trillion, six hundred fourteen billion, three hundred sixty million, sixty-four thousand, three hundred twenty-five".

Divisors: 1 5 13 25 37 65 109 185 325 481 545 925 1417 2141 2357 2405 2725 4033 7085 10705 11785 12025 20165 27833 30641 35425 52429 53525 58925 79217 87209 100825 139165 153205 233369 256913 262145 396085 436045 695825 766025 1029821 1133717 1166845 1284565 1310725 1980425 2180225 3033797 3339869 5046337 5149105 5668585 5834225 6422825 8634653 9505781 15168985 16699345 25231685 25745525 28342925 43173265 47528905 65602381 75844925 83496725 112250489 123575153 126158425 186714469 215866325 237644525 328011905 550050733 561252445 617875765 933572345 1640059525 2427288097 2750253665 2806262225 3089378825 4667861725 7150659529 12136440485 13751268325 20351877121 35753297645 60682202425 101759385605 178766488225 264574402573 508796928025 1322872012865 6614360064325