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27134631225276 = 22323457495743399
BaseRepresentation
bin1100010101101110001100…
…00011100010011110111100
310120002001020002211100101220
412022313012003202132330
512024033211043202101
6133413251050033340
75500261312563021
oct612670603423674
9116061202740356
1027134631225276
118711806a23613
123062a59118850
13121aa28114a73
1469b474a67548
15320c79ca8636
hex18adc60e27bc

27134631225276 has 96 divisors (see below), whose sum is σ = 66226377907200. Its totient is φ = 8630749822464.

The previous prime is 27134631225263. The next prime is 27134631225311. The reversal of 27134631225276 is 67252213643172.

It is a super-2 number, since 2×271346312252762 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 625214625 + ... + 625258023.

It is an arithmetic number, because the mean of its divisors is an integer number (689858103200).

Almost surely, 227134631225276 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 27134631225276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113188953600).

27134631225276 is an abundant number, since it is smaller than the sum of its proper divisors (39091746681924).

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

27134631225276 is a wasteful number, since it uses less digits than its factorization.

27134631225276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48843 (or 48841 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 27134631225276 in words is "twenty-seven trillion, one hundred thirty-four billion, six hundred thirty-one million, two hundred twenty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 457 914 1371 1828 2742 4957 5484 9914 10511 14871 19828 21022 29742 31533 42044 43399 59484 63066 86798 114011 126132 130197 173596 228022 260394 342033 456044 520788 684066 998177 1368132 1996354 2265349 2994531 3992708 4530698 5989062 6796047 9061396 11978124 13592094 19833343 27184188 39666686 52103027 59500029 79333372 104206054 119000058 156309081 208412108 215128843 238000116 312618162 430257686 456166889 625236324 645386529 860515372 912333778 1290773058 1368500667 1824667556 2581546116 2737001334 4947963389 5474002668 9895926778 14843890167 19791853556 29687780334 59375560668 98313881251 196627762502 294941643753 393255525004 589883287506 1179766575012 2261219268773 4522438537546 6783657806319 9044877075092 13567315612638 27134631225276