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27656213496 = 233171910135323
BaseRepresentation
bin11001110000011100…
…000101001111111000
32122101102001012201120
4121300130011033320
5423114442312441
620412144345240
71666226636022
oct316034051770
978342035646
1027656213496
111080223659a
12543a015220
1327b992ba92
1414a505d012
15abcea8966
hex6707053f8

27656213496 has 128 divisors (see below), whose sum is σ = 77825836800. Its totient is φ = 8138188800.

The previous prime is 27656213467. The next prime is 27656213509. The reversal of 27656213496 is 69431265672.

It is a super-2 number, since 2×276562134962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765291 + ... + 800613.

It is an arithmetic number, because the mean of its divisors is an integer number (608014350).

Almost surely, 227656213496 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 27656213496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38912918400).

27656213496 is an abundant number, since it is smaller than the sum of its proper divisors (50169623304).

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

27656213496 is a wasteful number, since it uses less digits than its factorization.

27656213496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35469 (or 35465 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 27656213496 in words is "twenty-seven billion, six hundred fifty-six million, two hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 101 102 114 136 152 202 204 228 303 323 404 408 456 606 646 808 969 1212 1292 1717 1919 1938 2424 2584 3434 3838 3876 5151 5757 6868 7676 7752 10302 11514 13736 15352 20604 23028 32623 35323 41208 46056 65246 70646 97869 105969 130492 141292 195738 211938 260984 282584 391476 423876 600491 671137 782952 847752 1200982 1342274 1801473 2013411 2401964 2684548 3567623 3602946 4026822 4803928 5369096 7135246 7205892 8053644 10702869 11409329 14270492 14411784 16107288 21405738 22818658 28540984 34227987 42811476 45637316 60649591 67784837 68455974 85622952 91274632 121299182 135569674 136911948 181948773 203354511 242598364 271139348 273823896 363897546 406709022 485196728 542278696 727795092 813418044 1152342229 1455590184 1626836088 2304684458 3457026687 4609368916 6914053374 9218737832 13828106748 27656213496