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4116548636872 = 2371731157988339
BaseRepresentation
bin111011111001110101011…
…010110101000011001000
3112120112112100111220021121
4323321311122311003020
51014421142422334442
612431041043445024
7603260625035260
oct73716532650310
915515470456247
104116548636872
111347900429571
12565993986774
1323b25bc452a9
141033561487a0
1572132e5e967
hex3be756b50c8

4116548636872 has 128 divisors (see below), whose sum is σ = 9647576064000. Its totient is φ = 1605857633280.

The previous prime is 4116548636867. The next prime is 4116548636873. The reversal of 4116548636872 is 2786368456114.

It is a self number, because there is not a number n which added to its sum of digits gives 4116548636872.

It is not an unprimeable number, because it can be changed into a prime (4116548636873) 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 31 ways as a sum of consecutive naturals, for example, 46555279 + ... + 46643617.

It is an arithmetic number, because the mean of its divisors is an integer number (75371688000).

Almost surely, 24116548636872 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 4116548636872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823788032000).

4116548636872 is an abundant number, since it is smaller than the sum of its proper divisors (5531027427128).

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

4116548636872 is a wasteful number, since it uses less digits than its factorization.

4116548636872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89979 (or 89975 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 61.

The spelling of 4116548636872 in words is "four trillion, one hundred sixteen billion, five hundred forty-eight million, six hundred thirty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1054 1579 1736 2108 3158 3689 4216 6316 7378 11053 12632 14756 22106 26843 29512 44212 48949 53686 88339 88424 97898 107372 176678 187901 195796 214744 342643 353356 375802 391592 618373 685286 706712 751604 832133 1236746 1370572 1501763 1503208 1664266 2473492 2738509 2741144 3003526 3328532 4946984 5477018 5824931 6007052 6657064 10512341 10954036 11649862 12014104 19169563 21024682 21908072 23299724 38339126 42049364 46554653 46599448 76678252 84098728 93109306 139487281 153356504 186218612 278974562 325882571 372437224 557949124 651765142 976410967 1115898248 1303530284 1952821934 2371283777 2607060568 3905643868 4324105711 4742567554 7811287736 8648211422 9485135108 16598986439 17296422844 18970270216 30268739977 33197972878 34592845688 60537479954 66395945756 73509797087 121074959908 132791891512 147019594174 242149919816 294039188348 514568579609 588078376696 1029137159218 2058274318436 4116548636872