Search a number
-
+
13485618068 = 22131937472167
BaseRepresentation
bin11001000111100111…
…00011001110010100
31021210211120101012212
430203303203032110
5210104304234233
610110055332552
7655120601516
oct144363431624
937724511185
1013485618068
1157a03094aa
122744381158
13136bb8c880
1491d059bb6
1553ddc8a48
hex323ce3394

13485618068 has 144 divisors (see below), whose sum is σ = 28241028480. Its totient is φ = 5581488384.

The previous prime is 13485618061. The next prime is 13485618119. The reversal of 13485618068 is 86081658431.

13485618068 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 not an unprimeable number, because it can be changed into a prime (13485618061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80752121 + ... + 80752287.

Almost surely, 213485618068 is an apocalyptic number.

It is an amenable number.

13485618068 is an abundant number, since it is smaller than the sum of its proper divisors (14755410412).

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

13485618068 is a wasteful number, since it uses less digits than its factorization.

13485618068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 13485618068 in words is "thirteen billion, four hundred eighty-five million, six hundred eighteen thousand, sixty-eight".

Divisors: 1 2 4 13 19 26 37 38 47 52 74 76 94 148 167 188 247 334 481 494 611 668 703 893 962 988 1222 1406 1739 1786 1924 2171 2209 2444 2812 3173 3478 3572 4342 4418 6179 6346 6956 7849 8684 8836 9139 11609 12358 12692 15698 18278 22607 23218 24716 28717 31396 33041 36556 41249 41971 45214 46436 57434 66082 80327 81733 82498 83942 90428 102037 114868 117401 132164 149131 160654 163466 164996 167884 204074 234802 290413 298262 321308 326932 368903 408148 429533 469604 545623 580826 596524 737806 859066 1062529 1091246 1161652 1475612 1526213 1552927 1718132 1938703 2125058 2182492 3052426 3105854 3775369 3877406 4250116 4795739 5517847 6104852 6211708 7009157 7550738 7754812 9591478 11035694 13649411 14018314 15101476 19182956 20188051 22071388 27298822 28036628 40376102 54597644 71732011 80752204 91119041 143464022 177442343 182238082 259338809 286928044 354884686 364476164 518677618 709769372 1037355236 3371404517 6742809034 13485618068