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27276971325696 = 2834362692
BaseRepresentation
bin1100011001110111010100…
…01011111011100100000000
310120120122122000211122110000
412030323222023323210000
512033401214124410241
6134002511224240000
75513460530510361
oct614735213734400
9116518560748400
1027276971325696
11876710a227844
123086562610000
13122b29074c361
146a42d8da1b68
1532480b16ceb6
hex18ceea2fb900

27276971325696 has 135 divisors (see below), whose sum is σ = 81337235571361. Its totient is φ = 9092073083904.

The previous prime is 27276971325677. The next prime is 27276971325749. The reversal of 27276971325696 is 69652317967272.

It is a happy number.

The square root of 27276971325696 is 5222736.

It is a perfect power (a square), and thus also a powerful number.

27276971325696 is a `hidden beast` number, since 2 + 7 + 27 + 6 + 9 + 7 + 1 + 32 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26770938276096 + 506033049600 = 5174064^2 + 711360^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 752055850 + ... + 752092118.

Almost surely, 227276971325696 is an apocalyptic number.

27276971325696 is the 5222736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27276971325696

27276971325696 is an abundant number, since it is smaller than the sum of its proper divisors (54060264245665).

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

27276971325696 is an frugal number, since it uses more digits than its factorization.

27276971325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72566 (or 36274 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 27276971325696 in words is "twenty-seven trillion, two hundred seventy-six billion, nine hundred seventy-one million, three hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 36269 72538 108807 145076 217614 290152 326421 435228 580304 652842 870456 979263 1160608 1305684 1740912 1958526 2321216 2611368 2937789 3481824 3917052 4642432 5222736 5875578 6963648 7834104 9284864 10445472 11751156 13927296 15668208 20890944 23502312 27854592 31336416 41781888 47004624 62672832 83563776 94009248 125345664 188018496 250691328 376036992 752073984 1315440361 2630880722 3946321083 5261761444 7892642166 10523522888 11838963249 15785284332 21047045776 23677926498 31570568664 35516889747 42094091552 47355852996 63141137328 71033779494 84188183104 94711705992 106550669241 126282274656 142067558988 168376366208 189423411984 213101338482 252564549312 284135117976 336752732416 378846823968 426202676964 505129098624 568270235952 757693647936 852405353928 1010258197248 1136540471904 1515387295872 1704810707856 2273080943808 3030774591744 3409621415712 4546161887616 6819242831424 9092323775232 13638485662848 27276971325696