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10504344513 = 31323311133343
BaseRepresentation
bin10011100100001101…
…11001001111000001
31000010001202222201210
421302012321033001
5133003103011023
64454200320333
7521210312055
oct116206711701
930101688653
1010504344513
114500479563
122051a730a9
13cb5333b90
14719129c65
154172d3593
hex2721b93c1

10504344513 has 64 divisors (see below), whose sum is σ = 16395337728. Its totient is φ = 5928975360.

The previous prime is 10504344493. The next prime is 10504344517. The reversal of 10504344513 is 31544340501.

It is not a de Polignac number, because 10504344513 - 212 = 10504340417 is a prime.

It is a super-2 number, since 2×105043445132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10504344517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3140520 + ... + 3143862.

It is an arithmetic number, because the mean of its divisors is an integer number (256177152).

Almost surely, 210504344513 is an apocalyptic number.

10504344513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10504344513 is a deficient number, since it is larger than the sum of its proper divisors (5890993215).

10504344513 is a wasteful number, since it uses less digits than its factorization.

10504344513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10504344513 in words is "ten billion, five hundred four million, three hundred forty-four thousand, five hundred thirteen".

Divisors: 1 3 13 23 31 39 69 93 113 299 339 403 713 897 1209 1469 2139 2599 3343 3503 4407 7797 9269 10029 10509 27807 33787 43459 45539 76889 80569 101361 103633 130377 136617 230667 241707 310899 377759 999557 1047397 1133277 1347229 2383559 2998671 3142191 4041687 4910867 7150677 8688457 11710529 14732601 26065371 30986267 35131587 92958801 112949941 152236877 269342167 338849823 456710631 808026501 3501448171 10504344513