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13418211442636 = 22711132857300799
BaseRepresentation
bin1100001101000010101110…
…1110011111111111001100
31202111202202020010001001201
43003100223232133333030
53224320444112131021
644312124035115244
72553301534250350
oct303205356377714
952452666101051
1013418211442636
1143036a4602530
121608657a42b24
13764441289700
14345632b35460
15184089ca3591
hexc342bb9ffcc

13418211442636 has 144 divisors (see below), whose sum is σ = 31738433126400. Its totient is φ = 4820083407360.

The previous prime is 13418211442621. The next prime is 13418211442639. The reversal of 13418211442636 is 63624411281431.

It is not an unprimeable number, because it can be changed into a prime (13418211442639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44458165 + ... + 44758963.

It is an arithmetic number, because the mean of its divisors is an integer number (220405785600).

Almost surely, 213418211442636 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 13418211442636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869216563200).

13418211442636 is an abundant number, since it is smaller than the sum of its proper divisors (18320221683764).

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

13418211442636 is a wasteful number, since it uses less digits than its factorization.

13418211442636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301704 (or 301689 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 13418211442636 in words is "thirteen trillion, four hundred eighteen billion, two hundred eleven million, four hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 857 1001 1183 1714 1859 2002 2366 3428 3718 4004 4732 5999 7436 9427 11141 11998 13013 18854 22282 23996 26026 37708 44564 52052 65989 77987 122551 131978 144833 155974 245102 263956 289666 300799 311948 490204 579332 601598 857857 1013831 1203196 1593163 1715714 2027662 2105593 3186326 3308789 3431428 3910387 4055324 4211186 6372652 6617578 7820774 8422372 11152141 13235156 15641548 22304282 23161523 27372709 43014257 44608564 46323046 50835031 54745418 86028514 92646092 101670062 109490836 172057028 203340124 257784743 301099799 355845217 515569486 559185341 602199598 711690434 1031138972 1118370682 1204399196 1423380868 1804493201 2236741364 2835632173 3351201659 3608986402 3914297387 5671264346 6702403318 7217972804 7828594774 11342528692 13404806636 15657189548 19849425211 23458411613 36863218249 39698850422 43565621567 46916823226 73726436498 79397700844 87131243134 93833646452 147452872996 174262486268 258042527743 304959350969 479221837237 516085055486 609918701938 958443674474 1032170110972 1219837403876 1916887348948 3354552860659 6709105721318 13418211442636