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13882542136683 = 31119317919745893
BaseRepresentation
bin1100101000000100011111…
…1111100001110101101011
31211011011021020020021012120
43022001013333201311223
53304422421241333213
645305315105242323
72631660223111263
oct312010777416553
954134236207176
1013882542136683
11447260a134480
1216826433333a3
1379916c63028c
1435dcc09c47a3
151911b41e8423
hexca047fe1d6b

13882542136683 has 128 divisors (see below), whose sum is σ = 22332240691200. Its totient is φ = 7577246476800.

The previous prime is 13882542136669. The next prime is 13882542136693. The reversal of 13882542136683 is 38663124528831.

It is not a de Polignac number, because 13882542136683 - 24 = 13882542136667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13882542136693) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302475085 + ... + 302520977.

It is an arithmetic number, because the mean of its divisors is an integer number (174470630400).

Almost surely, 213882542136683 is an apocalyptic number.

13882542136683 is a deficient number, since it is larger than the sum of its proper divisors (8449698554517).

13882542136683 is a wasteful number, since it uses less digits than its factorization.

13882542136683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46233.

The product of its digits is 39813120, while the sum is 60.

The spelling of 13882542136683 in words is "thirteen trillion, eight hundred eighty-two billion, five hundred forty-two million, one hundred thirty-six thousand, six hundred eighty-three".

Divisors: 1 3 11 19 31 33 57 79 93 197 209 237 341 589 591 627 869 1023 1501 1767 2167 2449 2607 3743 4503 6107 6479 6501 7347 11229 15563 16511 18321 19437 26939 41173 45893 46531 46689 49533 67177 80817 116033 123519 137679 139593 171193 201531 295697 348099 482453 504823 511841 513579 871967 887091 1276363 1422683 1447359 1514469 1535523 2615901 3252667 3625547 3829089 4268049 5306983 9040921 9166607 9591637 9758001 10876641 15649513 15920949 27030977 27122763 27499821 28774911 39881017 46948539 68885393 81092931 99450131 100832677 112391957 119643051 171777499 206656179 280268551 297340747 298350393 302498031 337175871 515332497 714232759 757739323 840805653 892022241 1236311527 1889552489 2135447183 2142698277 2273217969 3082954061 3708934581 5325102469 5668657467 6406341549 7856560349 9248862183 13570422421 15975307407 22141215529 23489919013 23569681047 40711267263 58576127159 66423646587 70469757039 149274646631 175728381477 243553370819 420683095051 447823939893 730660112457 1262049285153 4627514045561 13882542136683