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13535354196 = 223271318672213
BaseRepresentation
bin11001001101100010…
…10001110101010100
31021221022011020100200
430212301101311110
5210210022313241
610115033340500
7656263420020
oct144661216524
937838136320
1013535354196
115816399a41
122758b67730
131379284b30
149258c5380
155434504b6
hex326c51d54

13535354196 has 144 divisors (see below), whose sum is σ = 42151584384. Its totient is φ = 3566239488.

The previous prime is 13535354177. The next prime is 13535354201. The reversal of 13535354196 is 69145353531.

13535354196 is a `hidden beast` number, since 1 + 3 + 53 + 53 + 541 + 9 + 6 = 666.

It is a super-2 number, since 2×135353541962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6115186 + ... + 6117398.

It is an arithmetic number, because the mean of its divisors is an integer number (292719336).

Almost surely, 213535354196 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 13535354196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21075792192).

13535354196 is an abundant number, since it is smaller than the sum of its proper divisors (28616230188).

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

13535354196 is a wasteful number, since it uses less digits than its factorization.

13535354196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4105 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The spelling of 13535354196 in words is "thirteen billion, five hundred thirty-five million, three hundred fifty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 1867 2213 3276 3734 4426 5601 6639 7468 8852 11202 13069 13278 15491 16803 19917 22404 24271 26138 26556 28769 30982 33606 39207 39834 46473 48542 52276 57538 61964 67212 72813 78414 79668 86307 92946 97084 115076 117621 139419 145626 156828 169897 172614 185892 201383 218439 235242 258921 278838 291252 339794 345228 402766 436878 470484 509691 517842 557676 604149 679588 805532 873756 1019382 1035684 1208298 1529073 1812447 2038764 2416596 3058146 3624894 4131671 6116292 7249788 8263342 12395013 16526684 24790026 28921697 37185039 49580052 53711723 57843394 74370078 86765091 107423446 115686788 148740156 161135169 173530182 214846892 260295273 322270338 347060364 375982061 483405507 520590546 644540676 751964122 966811014 1041181092 1127946183 1503928244 1933622028 2255892366 3383838549 4511784732 6767677098 13535354196