Search a number
-
+
993999416241 = 313411519114519
BaseRepresentation
bin11100111011011101111…
…10110110101110110001
310112000200112021012001010
432131232332312232301
5112241202322304431
62040345333101133
7131546142426516
oct16355676665661
93460615235033
10993999416241
11353609836567
121407884877a9
1372970057170
143617752530d
151acc9a65846
hexe76efb6bb1

993999416241 has 64 divisors (see below), whose sum is σ = 1473717288960. Its totient is φ = 592038720000.

The previous prime is 993999416209. The next prime is 993999416273. The reversal of 993999416241 is 142614999399.

It is an interprime number because it is at equal distance from previous prime (993999416209) and next prime (993999416273).

It is not a de Polignac number, because 993999416241 - 25 = 993999416209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (993999416141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219957780 + ... + 219962298.

It is an arithmetic number, because the mean of its divisors is an integer number (23026832640).

Almost surely, 2993999416241 is an apocalyptic number.

It is an amenable number.

993999416241 is a deficient number, since it is larger than the sum of its proper divisors (479717872719).

993999416241 is a wasteful number, since it uses less digits than its factorization.

993999416241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638.

The product of its digits is 34012224, while the sum is 66.

The spelling of 993999416241 in words is "nine hundred ninety-three billion, nine hundred ninety-nine million, four hundred sixteen thousand, two hundred forty-one".

Divisors: 1 3 13 39 41 123 151 453 533 911 1599 1963 2733 4519 5889 6191 11843 13557 18573 35529 37351 58747 80483 112053 137561 176241 185279 241449 412683 485563 555837 682369 1456689 1788293 2047107 2408627 4116809 5364879 5640001 7225881 8870797 12350427 16920003 26612391 27977129 53518517 73320013 83931387 160555551 168789169 219960039 363702677 506367507 621638159 1091108031 1864914477 2194259197 6582777591 8081296067 24243888201 25487164519 76461493557 331333138747 993999416241