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27244422444272 = 24113138917128311
BaseRepresentation
bin1100011000111010101100…
…00111110011010011110000
310120110112121122101011002012
412030131112013303103300
512032333034121204042
6133535525340542052
75511226120544345
oct614352607632360
9116415548334065
1027244422444272
118754327233440
123080199b51928
1312281a42a18c7
146a28cc2207cc
15323a538aee82
hex18c7561f34f0

27244422444272 has 80 divisors (see below), whose sum is σ = 59444366936064. Its totient is φ = 11983948704000.

The previous prime is 27244422444259. The next prime is 27244422444287.

27244422444272 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27244422444272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212266997 + ... + 212395307.

Almost surely, 227244422444272 is an apocalyptic number.

27244422444272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27244422444272 is an abundant number, since it is smaller than the sum of its proper divisors (32199944491792).

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

27244422444272 is a wasteful number, since it uses less digits than its factorization.

27244422444272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167278 (or 167272 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 50.

The spelling of 27244422444272 in words is "twenty-seven trillion, two hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 38917 77834 128311 155668 256622 311336 428087 513244 622672 856174 1026488 1206427 1411421 1712348 2052976 2412854 2822842 3424696 3977641 4825708 5645684 6849392 7955282 9651416 11291368 13270697 15910564 19302832 22582736 26541394 31821128 43754051 53082788 63642256 87508102 106165576 175016204 212331152 350032408 700064816 4993479187 9986958374 19973916748 39947833496 54928271057 79895666992 109856542114 154797854797 219713084228 309595709594 439426168456 619191419188 878852336912 1238382838376 1702776402767 2476765676752 3405552805534 6811105611068 13622211222136 27244422444272