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12274585628872 = 2372587387713759
BaseRepresentation
bin1011001010011110011001…
…0100001111000011001000
31121110102211222101022101211
42302213212110033003020
53102101322410110442
642034511121022504
72404544450235400
oct262474624170310
947412758338354
1012274585628872
113a026936539a6
121462a91a84a34
136b06471b1368
14306143711800
1516445435a617
hexb29e650f0c8

12274585628872 has 96 divisors (see below), whose sum is σ = 26826849907200. Its totient is φ = 5249838835584.

The previous prime is 12274585628867. The next prime is 12274585628911. The reversal of 12274585628872 is 27882658547221.

It is a happy number.

It is a super-2 number, since 2×122745856288722 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12274585628798 and 12274585628807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892106329 + ... + 892120087.

It is an arithmetic number, because the mean of its divisors is an integer number (279446353200).

Almost surely, 212274585628872 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 12274585628872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413424953600).

12274585628872 is an abundant number, since it is smaller than the sum of its proper divisors (14552264278328).

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

12274585628872 is a wasteful number, since it uses less digits than its factorization.

12274585628872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18232 counting only the distinct ones).

The product of its digits is 240844800, while the sum is 67.

The spelling of 12274585628872 in words is "twelve trillion, two hundred seventy-four billion, five hundred eighty-five million, six hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 587 1174 2348 3877 4109 4696 7754 8218 13759 15508 16436 27139 27518 28763 31016 32872 54278 55036 57526 96313 108556 110072 115052 189973 192626 217112 230104 379946 385252 674191 759892 770504 1348382 1519784 2275799 2696764 4551598 5393528 8076533 9103196 15930593 16153066 18206392 31861186 32306132 53343643 56535731 63722372 64612264 106687286 111514151 113071462 127444744 213374572 223028302 226142924 373405501 395750117 426749144 446056604 452285848 746811002 791500234 892113208 1493622004 1583000468 2613838507 2987244008 3166000936 5227677014 10455354028 20910708056 31312718441 62625436882 125250873764 219189029087 250501747528 438378058174 876756116348 1534323203609 1753512232696 3068646407218 6137292814436 12274585628872