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4108079131236 = 22328313913037591
BaseRepresentation
bin111011110001111100100…
…110001110101001100100
3112112201200002122102201200
4323301330212032221210
51014301321224144421
612423120412522500
7602541013316103
oct73617446165144
915481602572650
104108079131236
111344254632633
1256420b480430
1323a50c3660b2
14102b9138603a
1571cd9621726
hex3bc7c98ea64

4108079131236 has 144 divisors (see below), whose sum is σ = 10594549754880. Its totient is φ = 1341920986560.

The previous prime is 4108079131229. The next prime is 4108079131237. The reversal of 4108079131236 is 6321319708014.

4108079131236 is a `hidden beast` number, since 410 + 8 + 0 + 79 + 131 + 2 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4108079131191 and 4108079131200.

It is not an unprimeable number, because it can be changed into a prime (4108079131237) 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 47 ways as a sum of consecutive naturals, for example, 541173801 + ... + 541181391.

Almost surely, 24108079131236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4108079131236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297274877440).

4108079131236 is an abundant number, since it is smaller than the sum of its proper divisors (6486470623644).

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

4108079131236 is a wasteful number, since it uses less digits than its factorization.

4108079131236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4108079131236 in words is "four trillion, one hundred eight billion, seventy-nine million, one hundred thirty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 139 166 249 278 332 417 498 556 747 834 996 1251 1303 1494 1668 2502 2606 2988 3909 5004 5212 7591 7818 11537 11727 15182 15636 22773 23074 23454 30364 34611 45546 46148 46908 68319 69222 91092 103833 108149 136638 138444 181117 207666 216298 273276 324447 362234 415332 432596 543351 630053 648894 724468 973341 1055149 1086702 1260106 1297788 1630053 1890159 1946682 2110298 2173404 2520212 3165447 3260106 3780318 3893364 4220596 5670477 6330894 6520212 7560636 9496341 9891073 11340954 12661788 15032711 18992682 19782146 22681908 29673219 30065422 37985364 39564292 45098133 59346438 60130844 87577367 89019657 90196266 118692876 135294399 175154734 178039314 180392532 262732101 270588798 350309468 356078628 525464202 541177596 788196303 820959059 1050928404 1374859147 1576392606 1641918118 2462877177 2749718294 3152785212 3283836236 4124577441 4925754354 5499436588 7388631531 8249154882 9851508708 12373732323 14777263062 16498309764 24747464646 29554526124 49494929292 114113309201 228226618402 342339927603 456453236804 684679855206 1027019782809 1369359710412 2054039565618 4108079131236