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2115277321248 = 253271380711131
BaseRepresentation
bin11110110010000000010…
…110100111010000100000
321111012220022110112010200
4132302000112213100200
5234124041443234443
64255424530025200
7305552354365530
oct36620026472040
97435808415120
102115277321248
117460a19a2513
122a1b56118200
131246151aa170
14745468c34c0
153a05355add3
hex1ec805a7420

2115277321248 has 144 divisors (see below), whose sum is σ = 7403470716096. Its totient is φ = 557875330560.

The previous prime is 2115277321229. The next prime is 2115277321279. The reversal of 2115277321248 is 8421237725112.

2115277321248 is a `hidden beast` number, since 2 + 1 + 1 + 527 + 73 + 2 + 12 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21152773212482 (a number of 25 digits) contains 22 as substring.

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, 40329358 + ... + 40381773.

It is an arithmetic number, because the mean of its divisors is an integer number (51412991084).

Almost surely, 22115277321248 is an apocalyptic number.

2115277321248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2115277321248 is an abundant number, since it is smaller than the sum of its proper divisors (5288193394848).

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

2115277321248 is a wasteful number, since it uses less digits than its factorization.

2115277321248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80711167 (or 80711156 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 2115277321248 in words is "two trillion, one hundred fifteen billion, two hundred seventy-seven million, three hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 80711131 161422262 242133393 322844524 484266786 564977917 645689048 726400179 968533572 1049244703 1129955834 1291378096 1452800358 1694933751 1937067144 2098489406 2259911668 2582756192 2905600716 3147734109 3389867502 3874134288 4196978812 4519823336 5084801253 5811201432 6295468218 6779735004 7344712921 7748268576 8393957624 9039646672 9443202327 10169602506 11622402864 12590936436 13559470008 14689425842 16787915248 18079293344 18886404654 20339205012 22034138763 23244805728 25181872872 27118940016 29378851684 33575830496 37772809308 40678410024 44068277526 50363745744 54237880032 58757703368 66102416289 75545618616 81356820048 88136555052 100727491488 117515406736 132204832578 151091237232 162713640096 176273110104 235030813472 264409665156 302182474464 352546220208 528819330312 705092440416 1057638660624 2115277321248