Search a number
-
+
64660689405 = 325131729224201
BaseRepresentation
bin111100001110000100…
…111101000111111101
320011220022111100200100
4330032010331013331
52024411114030110
645412114551313
74446231535314
oct741604750775
9204808440610
1064660689405
1125471300a94
1210646898539
136136206180
1431b586b27b
151a369d2bc0
hexf0e13d1fd

64660689405 has 96 divisors (see below), whose sum is σ = 132207435360. Its totient is φ = 28927180800.

The previous prime is 64660689397. The next prime is 64660689407. The reversal of 64660689405 is 50498606646.

It can be written as a sum of positive squares in 16 ways, for example, as 36394337529 + 28266351876 = 190773^2 + 168126^2 .

It is not a de Polignac number, because 64660689405 - 23 = 64660689397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64660689407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176305 + ... + 400505.

It is an arithmetic number, because the mean of its divisors is an integer number (1377160785).

Almost surely, 264660689405 is an apocalyptic number.

64660689405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64660689405 is an abundant number, since it is smaller than the sum of its proper divisors (67546745955).

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

64660689405 is a wasteful number, since it uses less digits than its factorization.

64660689405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224271 (or 224268 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 64660689405 in words is "sixty-four billion, six hundred sixty million, six hundred eighty-nine thousand, four hundred five".

Divisors: 1 3 5 9 13 15 17 29 39 45 51 65 85 87 117 145 153 195 221 255 261 377 435 493 585 663 765 1105 1131 1305 1479 1885 1989 2465 3315 3393 4437 5655 6409 7395 9945 16965 19227 22185 32045 57681 96135 224201 288405 672603 1121005 2017809 2914613 3363015 3811417 6501829 8743839 10089045 11434251 14573065 19057085 19505487 26231517 32509145 34302753 43719195 49548421 57171255 58516461 84523777 97527435 110531093 131157585 148645263 171513765 247742105 253571331 292582305 331593279 422618885 445935789 552655465 743226315 760713993 994779837 1267856655 1436904209 1657966395 2229678945 3803569965 4310712627 4973899185 7184521045 12932137881 21553563135 64660689405