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13481480136 = 23331371094493
BaseRepresentation
bin11001000111000111…
…10000111111001000
31021210112210011001010
430203203300333020
5210102224331021
610105430523520
7655040455545
oct144343607710
937715704033
1013481480136
115798a42623
122742b065a0
13136b0712a7
1491c69dbcc
1553d85c976
hex3238f0fc8

13481480136 has 128 divisors (see below), whose sum is σ = 36067046400. Its totient is φ = 4191575040.

The previous prime is 13481480081. The next prime is 13481480161. The reversal of 13481480136 is 63108418431.

13481480136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13481480094 and 13481480103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998306 + ... + 3002798.

It is an arithmetic number, because the mean of its divisors is an integer number (281773800).

Almost surely, 213481480136 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 13481480136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033523200).

13481480136 is an abundant number, since it is smaller than the sum of its proper divisors (22585566264).

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

13481480136 is a wasteful number, since it uses less digits than its factorization.

13481480136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

Adding to 13481480136 its reverse (63108418431), we get a palindrome (76589898567).

The spelling of 13481480136 in words is "thirteen billion, four hundred eighty-one million, four hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 109 111 124 148 186 218 222 248 296 327 372 436 444 654 744 872 888 1147 1308 2294 2616 3379 3441 4033 4493 4588 6758 6882 8066 8986 9176 10137 12099 13479 13516 13764 16132 17972 20274 24198 26958 27032 27528 32264 35944 40548 48396 53916 81096 96792 107832 125023 139283 166241 250046 278566 332482 375069 417849 489737 498723 500092 557132 664964 750138 835698 979474 997446 1000184 1114264 1329928 1469211 1500276 1671396 1958948 1994892 2938422 3000552 3342792 3917896 3989784 5153471 5876844 10306942 11753688 15181847 15460413 18120269 20613884 30363694 30920826 36240538 41227768 45545541 54360807 60727388 61841652 72481076 91091082 108721614 121454776 123683304 144962152 182182164 217443228 364364328 434886456 561728339 1123456678 1685185017 2246913356 3370370034 4493826712 6740740068 13481480136