Search a number
-
+
993032240642 = 21326728092
BaseRepresentation
bin11100111001101010101…
…01010111111000000010
310111221012010100120112122
432130311111113320002
5112232212223200032
62040105343124242
7131513156526551
oct16346525277002
93457163316478
10993032240642
113531628a2192
121405585a3682
1372847870700
14360c4cbdd98
151ac6ebba012
hexe735557e02

993032240642 has 54 divisors (see below), whose sum is σ = 1639402436763. Its totient is φ = 450923863104.

The previous prime is 993032240609. The next prime is 993032240719. The reversal of 993032240642 is 246042230399.

It can be written as a sum of positive squares in 5 ways, for example, as 537554378761 + 455477861881 = 733181^2 + 674891^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=704639.

It is a super-2 number, since 2×9930322406422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993032240593 and 993032240602.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1227480734 + ... + 1227481542.

Almost surely, 2993032240642 is an apocalyptic number.

993032240642 is a deficient number, since it is larger than the sum of its proper divisors (646370196121).

993032240642 is an frugal number, since it uses more digits than its factorization.

993032240642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 993032240642 in words is "nine hundred ninety-three billion, thirty-two million, two hundred forty thousand, six hundred forty-two".

Divisors: 1 2 13 26 67 134 169 338 809 871 1618 1742 4489 8978 10517 11323 21034 22646 54203 58357 108406 116714 136721 273442 654481 704639 758641 1308962 1409278 1517282 3631601 7263202 8508253 9160307 17016506 18320614 43850227 47210813 87700454 94421626 110607289 221214578 570052951 613740569 1140105902 1227481138 2937965209 5875930418 7410688363 14821376726 38193547717 76387095434 496516120321 993032240642