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36340361343 = 33111319495377
BaseRepresentation
bin100001110110000011…
…011110100001111111
310110210121210122001000
4201312003132201333
51043411113030333
624410004021343
72424355655226
oct416603364177
9113717718030
1036340361343
1114459206390
127062391853
133571b20ac0
141a8a535cbd
15e2a594713
hex8760de87f

36340361343 has 64 divisors (see below), whose sum is σ = 66578803200. Its totient is φ = 19260218880.

The previous prime is 36340361311. The next prime is 36340361347. The reversal of 36340361343 is 34316304363.

36340361343 is a `hidden beast` number, since 3 + 6 + 34 + 0 + 3 + 613 + 4 + 3 = 666.

It is not a de Polignac number, because 36340361343 - 25 = 36340361311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36340361298 and 36340361307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36340361347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174330 + ... + 321047.

It is an arithmetic number, because the mean of its divisors is an integer number (1040293800).

Almost surely, 236340361343 is an apocalyptic number.

36340361343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36340361343 is a deficient number, since it is larger than the sum of its proper divisors (30238441857).

36340361343 is a wasteful number, since it uses less digits than its factorization.

36340361343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495429 (or 495423 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The spelling of 36340361343 in words is "thirty-six billion, three hundred forty million, three hundred sixty-one thousand, three hundred forty-three".

Divisors: 1 3 9 11 13 19 27 33 39 57 99 117 143 171 209 247 297 351 429 513 627 741 1287 1881 2223 2717 3861 5643 6669 8151 24453 73359 495377 1486131 4458393 5449147 6439901 9412163 13375179 16347441 19319703 28236489 49042323 57959109 70838911 84709467 103533793 122358119 147126969 173877327 212516733 254128401 310601379 367074357 637550199 931804137 1101223071 1345939309 1912650597 2795412411 3303669213 4037817927 12113453781 36340361343