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13320749638686 = 23717791949121169
BaseRepresentation
bin1100000111010111101010…
…0011001110010000011110
31202011110011221112102020010
43001311322203032100132
53221221343401414221
644155245022304050
72543251410503340
oct301657243162036
952143157472203
1013320749638686
114276330999716
1215b1798128026
137581ab590b29
14340a28c29290
151817837dbc76
hexc1d7a8ce41e

13320749638686 has 128 divisors (see below), whose sum is σ = 32663554560000. Its totient is φ = 3534864113664.

The previous prime is 13320749638643. The next prime is 13320749638697. The reversal of 13320749638686 is 68683694702331.

13320749638686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109874710 + ... + 109995878.

It is an arithmetic number, because the mean of its divisors is an integer number (255184020000).

Almost surely, 213320749638686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320749638686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331777280000).

13320749638686 is an abundant number, since it is smaller than the sum of its proper divisors (19342804921314).

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

13320749638686 is a wasteful number, since it uses less digits than its factorization.

13320749638686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123226.

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 13320749638686 in words is "thirteen trillion, three hundred twenty billion, seven hundred forty-nine million, six hundred thirty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 79 102 119 158 237 238 357 474 553 714 1106 1343 1659 1949 2686 3318 3898 4029 5847 8058 9401 11694 13643 18802 27286 28203 33133 40929 56406 66266 81858 99399 121169 153971 198798 231931 242338 307942 363507 461913 463862 695793 727014 848183 923826 1077797 1391586 1696366 2059873 2155594 2544549 2617507 3233391 4119746 5089098 5235014 6179619 6466782 7852521 9572351 12359238 14419111 15705042 18322549 19144702 28717053 28838222 36645098 43257333 54967647 57434106 67006457 86514666 109935294 134012914 162729967 201019371 236158381 325459934 402038742 472316762 488189901 708475143 976379802 1139109769 1416950286 1653108667 2278219538 3306217334 3417329307 4014692477 4959326001 6834658614 8029384954 9918652002 12044077431 18656512099 24088154862 28102847339 37313024198 55969536297 56205694678 84308542017 111939072594 130595584693 168617084034 261191169386 317160705683 391786754079 634321411366 783573508158 951482117049 1902964234098 2220124939781 4440249879562 6660374819343 13320749638686