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27103695424 = 2613215832
BaseRepresentation
bin11001001111100000…
…011001001001000000
32120221220101101102021
4121033200121021000
5421002021223144
620241250131224
71646440416121
oct311740311100
976856341367
1027103695424
1110549369593
125304b80b14
13272c319400
141451916048
15a89719884
hex64f819240

27103695424 has 63 divisors (see below), whose sum is σ = 58276179993. Its totient is φ = 12501495552.

The previous prime is 27103695413. The next prime is 27103695431. The reversal of 27103695424 is 42459630172.

The square root of 27103695424 is 164632.

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., 4009422400 + 23094273024 = 63320^2 + 151968^2 .

It is a super-2 number, since 2×271036954242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17120937 + ... + 17122519.

Almost surely, 227103695424 is an apocalyptic number.

27103695424 is the 164632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27103695424

27103695424 is an abundant number, since it is smaller than the sum of its proper divisors (31172484569).

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

27103695424 is an frugal number, since it uses more digits than its factorization.

27103695424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 27103695424 in words is "twenty-seven billion, one hundred three million, six hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 1583 2704 3166 5408 6332 10816 12664 20579 25328 41158 50656 82316 101312 164632 267527 329264 535054 658528 1070108 1317056 2140216 2505889 4280432 5011778 8560864 10023556 17121728 20047112 32576557 40094224 65153114 80188448 130306228 160376896 260612456 423495241 521224912 846990482 1042449824 1693980964 2084899648 3387961928 6775923856 13551847712 27103695424