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27001374306424 = 23717198317985281
BaseRepresentation
bin1100010001110101111110…
…10100101111000001111000
310112121022021012102111000221
412020322333110233001320
512014342303310301144
6133232132103505424
75454533140503310
oct610727724570170
9115538235374027
1027001374306424
118670244965111
123041069758274
13120b2ac56301b
14694c32bd8440
1531c57b051d84
hex188ebf52f078

27001374306424 has 128 divisors (see below), whose sum is σ = 65264991321600. Its totient is φ = 10193768939520.

The previous prime is 27001374306397. The next prime is 27001374306469. The reversal of 27001374306424 is 42460347310072.

It is a super-2 number, since 2×270013743064242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7491337 + ... + 10493944.

It is an arithmetic number, because the mean of its divisors is an integer number (509882744700).

Almost surely, 227001374306424 is an apocalyptic number.

It is an amenable number.

27001374306424 is an abundant number, since it is smaller than the sum of its proper divisors (38263617015176).

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

27001374306424 is a wasteful number, since it uses less digits than its factorization.

27001374306424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17985413 (or 17985409 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 43.

The spelling of 27001374306424 in words is "twenty-seven trillion, one billion, three hundred seventy-four million, three hundred six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 83 119 133 136 152 166 238 266 323 332 476 532 581 646 664 952 1064 1162 1292 1411 1577 2261 2324 2584 2822 3154 4522 4648 5644 6308 9044 9877 11039 11288 12616 18088 19754 22078 26809 39508 44156 53618 79016 88312 107236 187663 214472 375326 750652 1501304 17985281 35970562 71941124 125896967 143882248 251793934 305749777 341720339 503587868 611499554 683440678 1007175736 1222999108 1366881356 1492778323 2140248439 2392042373 2445998216 2733762712 2985556646 4280496878 4784084746 5809245763 5971113292 8560993756 9568169492 10449448261 11618491526 11942226584 17121987512 19136338984 20898896522 23236983052 25377231491 28362788137 40664720341 41797793044 46473966104 50754462982 56725576274 81329440682 83595586088 101508925964 113451152548 162658881364 177640620437 198539516959 203017851928 226902305096 325317762728 355281240874 397079033918 482167398329 710562481748 794158067836 964334796658 1421124963496 1588316135672 1928669593316 3375171788303 3857339186632 6750343576606 13500687153212 27001374306424