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13116349346208 = 2538310315981827
BaseRepresentation
bin1011111011011110001101…
…0101111111000110100000
31201102220120221022201020020
42332313203111333012200
53204344240413034313
643521322342513440
72522424235622313
oct276674325770640
951386527281206
1013116349346208
1141a7681299669
12157a052a35880
13741b357387c4
14334b9859497a
1517b2bddc2323
hexbede357f1a0

13116349346208 has 96 divisors (see below), whose sum is σ = 35183546850816. Its totient is φ = 4277503765248.

The previous prime is 13116349346159. The next prime is 13116349346209. The reversal of 13116349346208 is 80264394361131.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13116349346209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7170210 + ... + 8811617.

It is an arithmetic number, because the mean of its divisors is an integer number (366495279696).

Almost surely, 213116349346208 is an apocalyptic number.

It is an amenable number.

13116349346208 is an abundant number, since it is smaller than the sum of its proper divisors (22067197504608).

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

13116349346208 is a wasteful number, since it uses less digits than its factorization.

13116349346208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982026 (or 15982018 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 13116349346208 in words is "thirteen trillion, one hundred sixteen billion, three hundred forty-nine million, three hundred forty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 103 166 206 249 309 332 412 498 618 664 824 996 1236 1328 1648 1992 2472 2656 3296 3984 4944 7968 8549 9888 17098 25647 34196 51294 68392 102588 136784 205176 273568 410352 820704 15981827 31963654 47945481 63927308 95890962 127854616 191781924 255709232 383563848 511418464 767127696 1326491641 1534255392 1646128181 2652983282 3292256362 3979474923 4938384543 5305966564 6584512724 7958949846 9876769086 10611933128 13169025448 15917899692 19753538172 21223866256 26338050896 31835799384 39507076344 42447732512 52676101792 63671598768 79014152688 127343197536 136628639023 158028305376 273257278046 409885917069 546514556092 819771834138 1093029112184 1639543668276 2186058224368 3279087336552 4372116448736 6558174673104 13116349346208