Search a number
-
+
829591316075985 = 35276472000437217
BaseRepresentation
bin1011110010100000100100011…
…1101101000001010111010001
311000210100011012012022120111120
42330220021013231001113101
51332214011003403412420
612100220553410232453
7336511665114245361
oct27450110755012721
94023304165276446
10829591316075985
11220373779584341
1279064431285729
13297b9182755528
14108c0610a209a1
1565d9892097d40
hex2f28247b415d1

829591316075985 has 16 divisors (see below), whose sum is σ = 1327394116878336. Its totient is φ = 442432698188288.

The previous prime is 829591316075959. The next prime is 829591316075987. The reversal of 829591316075985 is 589570613195928.

It is a cyclic number.

It is not a de Polignac number, because 829591316075985 - 25 = 829591316075953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829591316075985.

It is not an unprimeable number, because it can be changed into a prime (829591316075987) 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 15 ways as a sum of consecutive naturals, for example, 999803904 + ... + 1000633313.

It is an arithmetic number, because the mean of its divisors is an integer number (82962132304896).

Almost surely, 2829591316075985 is an apocalyptic number.

It is an amenable number.

829591316075985 is a deficient number, since it is larger than the sum of its proper divisors (497802800802351).

829591316075985 is a wasteful number, since it uses less digits than its factorization.

829591316075985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000464872.

The product of its (nonzero) digits is 1469664000, while the sum is 78.

The spelling of 829591316075985 in words is "eight hundred twenty-nine trillion, five hundred ninety-one billion, three hundred sixteen million, seventy-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 27647 82941 138235 414705 2000437217 6001311651 10002186085 30006558255 55306087738399 165918263215197 276530438691995 829591316075985