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13267135206 = 23313171958511
BaseRepresentation
bin11000101101100100…
…00110101011100110
31021020121110022002000
430112302012223212
5204132341311311
610032252430130
7646525534323
oct142662065346
937217408060
1013267135206
115698a52056
1226a3178346
131335833880
148dc025b4a
15529b1d056
hex316c86ae6

13267135206 has 128 divisors (see below), whose sum is σ = 35388057600. Its totient is φ = 3639790080.

The previous prime is 13267135157. The next prime is 13267135207. The reversal of 13267135206 is 60253176231.

13267135206 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 (13267135207) 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 63 ways as a sum of consecutive naturals, for example, 197491 + ... + 256001.

It is an arithmetic number, because the mean of its divisors is an integer number (276469200).

Almost surely, 213267135206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13267135206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694028800).

13267135206 is an abundant number, since it is smaller than the sum of its proper divisors (22120922394).

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

13267135206 is a wasteful number, since it uses less digits than its factorization.

13267135206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58571 (or 58565 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13267135206 in words is "thirteen billion, two hundred sixty-seven million, one hundred thirty-five thousand, two hundred six".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 102 114 117 153 171 221 234 247 306 323 342 351 442 459 494 513 646 663 702 741 918 969 1026 1326 1482 1938 1989 2223 2907 3978 4199 4446 5814 5967 6669 8398 8721 11934 12597 13338 17442 25194 37791 58511 75582 113373 117022 175533 226746 351066 526599 760643 994687 1053198 1111709 1521286 1579797 1989374 2223418 2281929 2984061 3159594 3335127 4563858 5968122 6670254 6845787 8952183 10005381 12930931 13691574 14452217 17904366 18899053 20010762 20537361 25861862 26856549 28904434 30016143 37798106 38792793 41074722 43356651 53713098 56697159 60032286 77585586 86713302 113394318 116378379 130069953 170091477 232756758 245687689 260139906 340182954 349135137 390209859 491375378 510274431 698270274 737063067 780419718 1020548862 1474126134 2211189201 4422378402 6633567603 13267135206