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13030179336684 = 2235176531207597
BaseRepresentation
bin1011110110011101001100…
…1101011111000111101100
31201010200011121020200100000
42331213103031133013230
53201441301402233214
643413552020304300
72513253663623616
oct275472315370754
951120147220300
1013030179336684
1141740825a3064
121565404842090
137369822514a3
143309421d3db6
15178e28dd7809
hexbd9d335f1ec

13030179336684 has 144 divisors (see below), whose sum is σ = 36221969635488. Its totient is φ = 4081635836928.

The previous prime is 13030179336661. The next prime is 13030179336697. The reversal of 13030179336684 is 48663397103031.

It is a happy number.

13030179336684 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 179 + 3 + 366 + 84 = 666.

It is a super-2 number, since 2×130301793366842 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13030179336684.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10186374 + ... + 11393970.

It is an arithmetic number, because the mean of its divisors is an integer number (251541455802).

Almost surely, 213030179336684 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 13030179336684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110984817744).

13030179336684 is an abundant number, since it is smaller than the sum of its proper divisors (23191790298804).

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

13030179336684 is a wasteful number, since it uses less digits than its factorization.

13030179336684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208286 (or 1208272 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13030179336684 in words is "thirteen trillion, thirty billion, one hundred seventy-nine million, three hundred thirty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 653 918 972 1306 1377 1836 1959 2612 2754 3918 4131 5508 5877 7836 8262 11101 11754 16524 17631 22202 23508 33303 35262 44404 52893 66606 70524 99909 105786 133212 158679 199818 211572 299727 317358 399636 599454 634716 899181 1198908 1207597 1798362 2415194 2697543 3596724 3622791 4830388 5395086 7245582 10790172 10868373 14491164 20529149 21736746 32605119 41058298 43473492 61587447 65210238 82116596 97815357 123174894 130420476 184762341 195630714 246349788 293446071 369524682 391261428 554287023 586892142 739049364 788560841 1108574046 1173784284 1577121682 1662861069 2217148092 2365682523 3154243364 3325722138 4731365046 4988583207 6651444276 7097047569 9462730092 9977166414 13405534297 14194095138 19954332828 21291142707 26811068594 28388190276 40216602891 42582285414 53622137188 63873428121 80433205782 85164570828 120649808673 127746856242 160866411564 191620284363 241299617346 255493712484 361949426019 383240568726 482599234692 723898852038 766481137452 1085848278057 1447797704076 2171696556114 3257544834171 4343393112228 6515089668342 13030179336684