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27038285256 = 233172914811543
BaseRepresentation
bin11001001011100110…
…110111110111001000
32120210100022012112110
4121023212313313020
5420333300112011
620230552142320
71645014426663
oct311346676710
976710265473
1027038285256
11105154529a4
1252a70979a0
13271b8c6a78
141446d6a6da
15a83ae8ba6
hex64b9b7dc8

27038285256 has 128 divisors (see below), whose sum is σ = 74137939200. Its totient is φ = 8179261440.

The previous prime is 27038285243. The next prime is 27038285269. The reversal of 27038285256 is 65258283072.

It is an interprime number because it is at equal distance from previous prime (27038285243) and next prime (27038285269).

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, 17522421 + ... + 17523963.

It is an arithmetic number, because the mean of its divisors is an integer number (579202650).

Almost surely, 227038285256 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 27038285256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37068969600).

27038285256 is an abundant number, since it is smaller than the sum of its proper divisors (47099653944).

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

27038285256 is a wasteful number, since it uses less digits than its factorization.

27038285256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 27038285256 in words is "twenty-seven billion, thirty-eight million, two hundred eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 986 1479 1481 1543 1972 2958 2962 3086 3944 4443 4629 5916 5924 6172 8886 9258 11832 11848 12344 17772 18516 25177 26231 35544 37032 42949 44747 50354 52462 75531 78693 85898 89494 100708 104924 128847 134241 151062 157386 171796 178988 201416 209848 257694 268482 302124 314772 343592 357976 515388 536964 604248 629544 730133 760699 1030776 1073928 1460266 1521398 2190399 2282097 2285183 2920532 3042796 4380798 4564194 4570366 5841064 6085592 6855549 8761596 9128388 9140732 13711098 17523192 18256776 18281464 27422196 38848111 54844392 66270307 77696222 116544333 132540614 155392444 198810921 233088666 265081228 310784888 397621842 466177332 530162456 795243684 932354664 1126595219 1590487368 2253190438 3379785657 4506380876 6759571314 9012761752 13519142628 27038285256