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270728168004 = 2232739711532347
BaseRepresentation
bin1111110000100010101…
…0000000001001000100
3221212210111210220002100
43330020222000021010
513413422402334004
6324212032112100
725362616313310
oct3741052001104
9855714726070
10270728168004
11a48a6aa1708
1244576395630
131c6b6589068
14d1636c4b40
15709796d739
hex3f08a80244

270728168004 has 144 divisors (see below), whose sum is σ = 785088024448. Its totient is φ = 77056303104.

The previous prime is 270728167909. The next prime is 270728168017. The reversal of 270728168004 is 400861827072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115349559 + ... + 115351905.

Almost surely, 2270728168004 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 270728168004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392544012224).

270728168004 is an abundant number, since it is smaller than the sum of its proper divisors (514359856444).

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

270728168004 is a wasteful number, since it uses less digits than its factorization.

270728168004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 270728168004 in words is "two hundred seventy billion, seven hundred twenty-eight million, one hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 397 794 1153 1191 1588 2306 2347 2382 2779 3459 3573 4612 4694 4764 5558 6918 7041 7146 8071 8337 9388 10377 11116 13836 14082 14292 16142 16429 16674 20754 21123 24213 25011 28164 32284 32858 33348 41508 42246 48426 49287 50022 65716 72639 84492 96852 98574 100044 145278 147861 197148 290556 295722 457741 591444 915482 931759 1373223 1830964 1863518 2706091 2746446 2795277 3204187 3727036 4119669 5412182 5492892 5590554 6408374 6522313 8118273 8239338 8385831 9612561 10824364 11181108 12816748 13044626 16236546 16478676 16771662 18942637 19225122 19566939 24354819 26089252 28837683 32473092 33543324 37885274 38450244 39133878 48709638 56827911 57675366 58700817 75770548 78267756 97419276 113655822 115350732 117401634 170483733 227311644 234803268 340967466 681934932 1074318127 2148636254 3222954381 4297272508 6445908762 7520226889 9668863143 12891817524 15040453778 19337726286 22560680667 30080907556 38675452572 45121361334 67682042001 90242722668 135364084002 270728168004