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13418946090583 = 11192341471798093
BaseRepresentation
bin1100001101000101011110…
…0000111101011001010111
31202111211122102111000120221
43003101113200331121113
53224324000144344313
644312325001135211
72553325664536165
oct303212740753127
952454572430527
1013418946090583
114303a412673a0
121608821a8a507
1376452a53a537
143456a252c235
151840ce51bc8d
hexc345783d657

13418946090583 has 128 divisors (see below), whose sum is σ = 16917988147200. Its totient is φ = 10495155686400.

The previous prime is 13418946090569. The next prime is 13418946090593. The reversal of 13418946090583 is 38509064981431.

It is not a de Polignac number, because 13418946090583 - 25 = 13418946090551 is a prime.

It is a super-2 number, since 2×134189460905832 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418946090593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1658088885 + ... + 1658096977.

It is an arithmetic number, because the mean of its divisors is an integer number (132171782400).

Almost surely, 213418946090583 is an apocalyptic number.

13418946090583 is a deficient number, since it is larger than the sum of its proper divisors (3499042056617).

13418946090583 is a wasteful number, since it uses less digits than its factorization.

13418946090583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413.

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 13418946090583 in words is "thirteen trillion, four hundred eighteen billion, nine hundred forty-six million, ninety thousand, five hundred eighty-three".

Divisors: 1 11 19 23 41 47 179 209 253 437 451 517 779 893 943 1081 1927 1969 3401 4117 4807 7339 8093 8413 8569 9823 10373 11891 17917 20539 21197 36613 37411 44321 45287 78223 80729 89023 92543 139441 153767 159847 168797 186139 193499 197087 225929 331813 344933 380371 402743 487531 842099 860453 1448647 1533851 1691437 1758317 1856767 2047529 2128489 3207143 3536641 3649943 3676481 3794263 4184081 6304447 6553727 7227049 7631699 7933459 8748533 9263089 15595211 15935117 27524293 33318881 35278573 38903051 40441291 59394527 68086409 69348917 72090997 79497539 83948689 87268049 96233863 145002281 150735721 166222127 171547321 296309009 302767223 358689853 366507691 633058739 653339797 748950499 1128496013 1293641771 1366074121 1565987407 1595025091 1658092931 1828443397 2791542769 3259399099 3945588383 6815107207 6963646129 12413456143 14230059481 15026815331 17225861477 25955408299 29753760733 30706970459 53039312611 64205483687 74966179277 285509491289 327291368063 583432438721 706260320557 1219904190053 13418946090583