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5109372829379 = 713192594875413
BaseRepresentation
bin100101001011001111001…
…0110100011111011000011
3200002110011222101112102202
41022112132112203323003
51132202443421020004
614511114035503415
71035066010320620
oct112263626437303
920073158345382
105109372829379
11169a966841045
126a6292757b6b
132b0a726713a0
1413941b54d347
158cd8e730b1e
hex4a59e5a3ec3

5109372829379 has 96 divisors (see below), whose sum is σ = 6764447370240. Its totient is φ = 3756476300544.

The previous prime is 5109372829361. The next prime is 5109372829381. The reversal of 5109372829379 is 9739282739015.

5109372829379 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5109372829379 - 28 = 5109372829123 is a prime.

It is a super-2 number, since 2×51093728293792 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109372829349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 943905077 + ... + 943910489.

It is an arithmetic number, because the mean of its divisors is an integer number (70462993440).

Almost surely, 25109372829379 is an apocalyptic number.

5109372829379 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

5109372829379 is a deficient number, since it is larger than the sum of its proper divisors (1655074540861).

5109372829379 is a wasteful number, since it uses less digits than its factorization.

5109372829379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 65.

The spelling of 5109372829379 in words is "five trillion, one hundred nine billion, three hundred seventy-two million, eight hundred twenty-nine thousand, three hundred seventy-nine".

Divisors: 1 7 13 19 59 91 133 247 361 413 487 767 1121 1729 2527 3409 4693 5369 5413 6331 7847 9253 14573 21299 28733 32851 37891 44317 64771 70369 102011 102847 120289 149093 175807 201131 276887 319367 373529 492583 545927 719929 842023 1230649 1337011 1938209 1954093 2235569 2285491 2614703 2636131 3821489 4151771 6067973 7097051 9359077 10372613 13678651 15998437 18452917 25403209 29062397 34269703 42475811 49679357 50086489 72608291 78883649 115291487 134843969 155531729 177822463 239887921 350605423 552185543 651124357 807040409 943907783 951643291 1088722103 1498789331 2021912477 2955102851 4557870499 6661503037 10491525317 12371362783 14153387339 20685719957 38416337063 56146954169 86599539481 268914359441 393028679183 729910404197 5109372829379