Search a number
-
+
705429074911 = 111931030132257
BaseRepresentation
bin10100100001111101101…
…10010111001111011111
32111102211120020222102111
422100332312113033133
543024204320344121
61300023013134451
7101652122126161
oct12207666271737
92442746228374
10705429074911
1125219735aa70
12b487292a427
13516a2179cc2
1426200378931
151353aa172e1
hexa43ed973df

705429074911 has 16 divisors (see below), whose sum is σ = 773645420448. Its totient is φ = 637894656000.

The previous prime is 705429074887. The next prime is 705429074939. The reversal of 705429074911 is 119470924507.

It is a 18-Lehmer number, since φ(705429074911) divides (705429074911-1)18.

It is a cyclic number.

It is not a de Polignac number, because 705429074911 - 217 = 705428943839 is a prime.

It is a pancake number, because a pancake can be divided into 705429074911 parts by 1187795 straight cuts.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705429078911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21852895 + ... + 21885151.

It is an arithmetic number, because the mean of its divisors is an integer number (48352838778).

Almost surely, 2705429074911 is an apocalyptic number.

705429074911 is a deficient number, since it is larger than the sum of its proper divisors (68216345537).

705429074911 is a wasteful number, since it uses less digits than its factorization.

705429074911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42762.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 705429074911 in words is "seven hundred five billion, four hundred twenty-nine million, seventy-four thousand, nine hundred eleven".

Divisors: 1 11 193 2123 10301 32257 113311 354827 1988093 6225601 21869023 68481611 332279357 3655072927 64129915901 705429074911