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27653694436 = 22172672732
BaseRepresentation
bin11001110000010010…
…011110001111100100
32122101020022020020001
4121300102132033210
5423113321210221
620412014351044
71666166344564
oct316022361744
978336266201
1027653694436
1110800875a25
1254391bb484
1327b9259304
1414a49a4da4
15abcb5c391
hex67049e3e4

27653694436 has 81 divisors (see below), whose sum is σ = 52911541179. Its totient is φ = 12643665408.

The previous prime is 27653694413. The next prime is 27653694437. The reversal of 27653694436 is 63449635672.

The square root of 27653694436 is 166294.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3492100836 + 24161593600 = 59094^2 + 155440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27653694437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 378817696 + ... + 378817768.

Almost surely, 227653694436 is an apocalyptic number.

27653694436 is the 166294-th square number.

It is an amenable number.

27653694436 is a deficient number, since it is larger than the sum of its proper divisors (25257846743).

27653694436 is an equidigital number, since it uses as much as digits as its factorization.

27653694436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 55.

The spelling of 27653694436 in words is "twenty-seven billion, six hundred fifty-three million, six hundred ninety-four thousand, four hundred thirty-six".

Divisors: 1 2 4 17 34 67 68 73 134 146 268 289 292 578 1139 1156 1241 2278 2482 4489 4556 4891 4964 5329 8978 9782 10658 17956 19363 19564 21097 21316 38726 42194 76313 77452 83147 84388 90593 152626 166294 181186 305252 327697 332588 357043 362372 655394 714086 1297321 1310788 1413499 1428172 1540081 2594642 2826998 3080162 5189284 5570849 5653996 6069731 6160324 11141698 12139462 22283396 23921881 24278924 47843762 94704433 95687524 103185427 189408866 206370854 378817732 406671977 412741708 813343954 1626687908 6913423609 13826847218 27653694436