Search a number
-
+
77094036863041 = 1125928321632
BaseRepresentation
bin10001100001110111011010…
…101011100111100001000001
3101002222010011222112100100011
4101201313122223213201001
540101102041414104131
6431544302301224521
722144601050034632
oct2141673253474101
9332863158470304
1077094036863041
1122623440a76500
128791410b62141
133402c235b1a53
14150752ab87889
158da5d5b790b1
hex461ddaae7841

77094036863041 has 81 divisors (see below), whose sum is σ = 87789976206177. Its totient is φ = 67649914815120.

The previous prime is 77094036863027. The next prime is 77094036863111. The reversal of 77094036863041 is 14036863049077.

The square root of 77094036863041 is 8780321.

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

It is not a de Polignac number, because 77094036863041 - 221 = 77094034765889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77094036861041) 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 80 ways as a sum of consecutive naturals, for example, 472969551226 + ... + 472969551388.

Almost surely, 277094036863041 is an apocalyptic number.

77094036863041 is the 8780321-st square number.

77094036863041 is the 4390161-st centered octagonal number.

It is an amenable number.

77094036863041 is a deficient number, since it is larger than the sum of its proper divisors (10695939343136).

77094036863041 is an frugal number, since it uses more digits than its factorization.

77094036863041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 77094036863041 in words is "seventy-seven trillion, ninety-four billion, thirty-six million, eight hundred sixty-three thousand, forty-one".

Divisors: 1 11 59 83 121 163 649 913 1793 3481 4897 6889 7139 9617 10043 13529 19723 26569 38291 53867 75779 105787 148819 288923 292259 406451 421201 567403 592537 798211 833569 1122907 1163657 1567571 1637009 2205227 3178153 3214849 4470961 6241433 8780321 12351977 17243281 23980609 24257497 34959683 47094449 49180571 66251513 68655763 92486689 96583531 130108393 135871747 183033841 189676091 263786699 266832467 518038939 728766643 1017353579 1431192323 2013372251 2901653689 3908839267 5698428329 7676395187 8016433073 10798996619 11190889369 15743115553 22147094761 42997231937 84440347057 118788962809 472969551307 637140800521 928843817627 1306678590899 7008548805731 77094036863041