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27225660004 = 221722322112
BaseRepresentation
bin11001010110110001…
…101001101001100100
32121021101212211100221
4121112301221221210
5421224232110004
620301324214124
71652451202024
oct312661515144
977241784327
1027225660004
11106011a2364
12533999a344
13274b6805ba
141463bc3a84
15a952ac354
hex656c69a64

27225660004 has 81 divisors (see below), whose sum is σ = 53160563001. Its totient is φ = 12196947840.

The previous prime is 27225659977. The next prime is 27225660037. The reversal of 27225660004 is 40006652272.

The square root of 27225660004 is 165002.

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

It can be written as a sum of positive squares in only one way, i.e., 21196448100 + 6029211904 = 145590^2 + 77648^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

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, 129031459 + ... + 129031669.

Almost surely, 227225660004 is an apocalyptic number.

27225660004 is the 165002-nd square number.

It is an amenable number.

27225660004 is a deficient number, since it is larger than the sum of its proper divisors (25934902997).

27225660004 is a wasteful number, since it uses less digits than its factorization.

27225660004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 27225660004 in words is "twenty-seven billion, two hundred twenty-five million, six hundred sixty thousand, four".

Divisors: 1 2 4 17 23 34 46 68 92 211 289 391 422 529 578 782 844 1058 1156 1564 2116 3587 4853 6647 7174 8993 9706 13294 14348 17986 19412 26588 35972 44521 60979 82501 89042 111619 121958 152881 165002 178084 223238 243916 305762 330004 446476 611524 756857 1023983 1402517 1513714 1897523 2047966 2805034 3027428 3795046 4095932 5610068 7590092 12866569 17407711 23551609 25733138 32257891 34815422 47103218 51466276 64515782 69630844 94206436 129031564 295931087 400377353 591862174 800754706 1183724348 1601509412 6806415001 13612830002 27225660004