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13413655134 = 23311213115671
BaseRepresentation
bin11000111111000010…
…00010001001011110
31021121211011021122000
430133201002021132
5204432343431014
610055005103130
7653255121165
oct143741021136
937554137560
1013413655134
115763727700
122724257aa6
131359cb4759
149136863dc
15537911509
hex31f84225e

13413655134 has 96 divisors (see below), whose sum is σ = 33016515840. Its totient is φ = 4033458000.

The previous prime is 13413655127. The next prime is 13413655139. The reversal of 13413655134 is 43155631431.

13413655134 is a `hidden beast` number, since 1 + 3 + 4 + 136 + 5 + 513 + 4 = 666.

It is a super-2 number, since 2×134136551342 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413655139) 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, 848119 + ... + 863789.

It is an arithmetic number, because the mean of its divisors is an integer number (343922040).

Almost surely, 213413655134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413655134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508257920).

13413655134 is an abundant number, since it is smaller than the sum of its proper divisors (19602860706).

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

13413655134 is a wasteful number, since it uses less digits than its factorization.

13413655134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15835 (or 15818 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 13413655134 in words is "thirteen billion, four hundred thirteen million, six hundred fifty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 131 198 242 262 297 363 393 594 726 786 1089 1179 1441 2178 2358 2882 3267 3537 4323 6534 7074 8646 12969 15671 15851 25938 31342 31702 38907 47013 47553 77814 94026 95106 141039 142659 172381 282078 285318 344762 423117 427977 517143 846234 855954 1034286 1551429 1896191 2052901 3102858 3792382 4105802 4654287 5688573 6158703 9308574 11377146 12317406 17065719 18476109 22581911 34131438 36952218 45163822 51197157 55428327 67745733 102394314 110856654 135491466 203237199 248401021 406474398 496802042 609711597 745203063 1219423194 1490406126 2235609189 4471218378 6706827567 13413655134