Search a number
-
+
27243625026653 = 7311031621751943
BaseRepresentation
bin1100011000111001001101…
…00101111001010001011101
310120110110120001220010202022
412030130212211321101131
512032324421001323103
6133535314253305525
75511200265604550
oct614344645712135
9116413501803668
1027243625026653
118753a580a6812
12307bbb6a952a5
1312280a8014269
146a2854368697
15323a08898138
hex18c72697945d

27243625026653 has 32 divisors (see below), whose sum is σ = 32472045944832. Its totient is φ = 22365161294400.

The previous prime is 27243625026637. The next prime is 27243625026661. The reversal of 27243625026653 is 35662052634272.

It is a cyclic number.

It is not a de Polignac number, because 27243625026653 - 24 = 27243625026637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27243625026595 and 27243625026604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27243625026613) by changing a digit.

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, 35855000 + ... + 36606942.

It is an arithmetic number, because the mean of its divisors is an integer number (1014751435776).

Almost surely, 227243625026653 is an apocalyptic number.

It is an amenable number.

27243625026653 is a deficient number, since it is larger than the sum of its proper divisors (5228420918179).

27243625026653 is a wasteful number, since it uses less digits than its factorization.

27243625026653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753705.

The product of its (nonzero) digits is 21772800, while the sum is 53.

The spelling of 27243625026653 in words is "twenty-seven trillion, two hundred forty-three billion, six hundred twenty-five million, twenty-six thousand, six hundred fifty-three".

Divisors: 1 7 31 103 217 721 1621 3193 11347 22351 50251 166963 351757 751943 1168741 5175853 5263601 23310233 36230971 77450129 163171631 542150903 1218899603 2400953999 8532297221 16806677993 37785887693 125546659109 264501213851 878826613763 3891946432379 27243625026653