Search a number
-
+
705055005005 = 51323641735739
BaseRepresentation
bin10100100001010001000…
…11011001100101001101
32111101212111101020222112
422100220203121211031
543022423040130010
61255521531353405
7101636630442311
oct12205043314515
92441774336875
10705055005005
1125201519578a
12b47895b2865
1351642817070
14261a6803b41
1513517c76a05
hexa4288d994d

705055005005 has 32 divisors (see below), whose sum is σ = 952247681280. Its totient is φ = 497241169920.

The previous prime is 705055004987. The next prime is 705055005007. The reversal of 705055005005 is 500500550507.

It is not a de Polignac number, because 705055005005 - 28 = 705055004749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705055005007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590426 + ... + 1326164.

It is an arithmetic number, because the mean of its divisors is an integer number (29757740040).

Almost surely, 2705055005005 is an apocalyptic number.

It is an amenable number.

705055005005 is a deficient number, since it is larger than the sum of its proper divisors (247192676275).

705055005005 is a wasteful number, since it uses less digits than its factorization.

705055005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736421.

The product of its (nonzero) digits is 21875, while the sum is 32.

The spelling of 705055005005 in words is "seven hundred five billion, fifty-five million, five thousand, five".

Divisors: 1 5 13 23 65 115 299 641 1495 3205 8333 14743 41665 73715 191659 735739 958295 3678695 9564607 16921997 47823035 84609985 219985961 471608699 1099929805 2358043495 6130913087 10847000077 30654565435 54235000385 141011001001 705055005005