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13028978747295 = 3257222350952057
BaseRepresentation
bin1011110110011000101110…
…1001100110011110011111
31201010120001221010102022100
42331212023221212132133
53201431322024403140
643413232531420143
72513212145032200
oct275461351463637
951116057112270
1013028978747295
114173616924525
12156512a754653
137368205b1974
1433086a98d5a7
15178da87d2530
hexbd98ba6679f

13028978747295 has 144 divisors (see below), whose sum is σ = 26440832920320. Its totient is φ = 5917632795648.

The previous prime is 13028978747273. The next prime is 13028978747329. The reversal of 13028978747295 is 59274787982031.

It is a happy number.

13028978747295 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 89 + 78 + 7 + 472 + 9 + 5 = 666.

It is not a de Polignac number, because 13028978747295 - 211 = 13028978745247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250256907 + ... + 250308963.

It is an arithmetic number, because the mean of its divisors is an integer number (183616895280).

Almost surely, 213028978747295 is an apocalyptic number.

13028978747295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13028978747295 is an abundant number, since it is smaller than the sum of its proper divisors (13411854173025).

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

13028978747295 is a wasteful number, since it uses less digits than its factorization.

13028978747295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52814 (or 52804 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 13028978747295 in words is "thirteen trillion, twenty-eight billion, nine hundred seventy-eight million, seven hundred forty-seven thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 223 245 315 441 509 669 735 1115 1527 1561 2007 2205 2545 3345 3563 4581 4683 7635 7805 10035 10689 10927 14049 17815 22905 23415 24941 32067 32781 52057 53445 54635 70245 74823 98343 113507 124705 156171 160335 163905 224469 260285 340521 364399 374115 468513 491715 567535 780855 794549 1021563 1093197 1122345 1702605 1821995 2342565 2383647 2550793 3279591 3972745 5107815 5465985 5561843 7150941 7652379 11608711 11918235 12753965 16397955 16685529 22957137 26497013 27809215 34826133 35754705 38261895 50056587 58043555 79491039 81260977 83427645 104478399 114785685 132485065 174130665 185479091 238473117 243782931 250282935 397455195 406304885 522391995 556437273 568826839 731348793 927395455 1192365585 1218914655 1298353637 1669311819 1706480517 2782186365 2844134195 3656743965 3895060911 5119441551 5908833899 6491768185 8346559095 8532402585 11685182733 17726501697 19475304555 25597207755 29544169495 41361837293 53179505091 58425913665 88632508485 124085511879 206809186465 265897525455 289532861051 372256535637 620427559395 868598583153 1447664305255 1861282678185 2605795749459 4342992915765 13028978747295