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13309470684 = 223231611931013
BaseRepresentation
bin11000110010100111…
…00110011111011100
31021100120010011102200
430121103212133130
5204224211030214
610040404051500
7650551430346
oct143123463734
937316104380
1013309470684
11570a938354
1226b5393b90
131341537453
149038c6296
1552d6d1d09
hex3194e67dc

13309470684 has 144 divisors (see below), whose sum is σ = 35515893504. Its totient is φ = 4196966400.

The previous prime is 13309470679. The next prime is 13309470701. The reversal of 13309470684 is 48607490331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13138162 + ... + 13139174.

Almost surely, 213309470684 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 13309470684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757946752).

13309470684 is an abundant number, since it is smaller than the sum of its proper divisors (22206422820).

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

13309470684 is a wasteful number, since it uses less digits than its factorization.

13309470684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13309470684 in words is "thirteen billion, three hundred nine million, four hundred seventy thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 193 244 279 366 372 386 549 558 579 732 772 1013 1098 1116 1158 1737 1891 2026 2196 2316 3039 3474 3782 4052 5673 5983 6078 6948 7564 9117 11346 11773 11966 12156 17019 17949 18234 22692 23546 23932 31403 34038 35319 35898 36468 47092 53847 61793 62806 68076 70638 71796 94209 105957 107694 123586 125612 141276 185379 188418 195509 211914 215388 247172 282627 364963 370758 376836 391018 423828 556137 565254 586527 729926 741516 782036 1094889 1112274 1130508 1173054 1459852 1759581 1915583 2189778 2224548 2346108 3284667 3519162 3831166 4379556 5746749 6060779 6569334 7038324 7662332 11493498 11926049 12121558 13138668 17240247 18182337 22986996 23852098 24243116 34480494 35778147 36364674 47704196 54547011 68960988 71556294 72729348 107334441 109094022 143112588 214668882 218188044 369707519 429337764 739415038 1109122557 1478830076 2218245114 3327367671 4436490228 6654735342 13309470684