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834951720961 = 19416431666913
BaseRepresentation
bin11000010011001110000…
…00000011000000000001
32221211011012222010112101
430021213000003000001
5102134440120032321
61435323241030401
7114215611346101
oct14114700030001
92854135863471
10834951720961
112a211252aaa6
1211599b785401
1360974198377
142c5aa2a5201
1516abb9d7791
hexc267003001

834951720961 has 16 divisors (see below), whose sum is σ = 901733797440. Its totient is φ = 770513402880.

The previous prime is 834951720959. The next prime is 834951721001. The reversal of 834951720961 is 169027159438.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 834951720961 - 21 = 834951720959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (834951720901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332560 + ... + 1334353.

It is an arithmetic number, because the mean of its divisors is an integer number (56358362340).

It is a 1-persistent number, because it is pandigital, but 2⋅834951720961 = 1669903441922 is not.

Almost surely, 2834951720961 is an apocalyptic number.

It is an amenable number.

834951720961 is a deficient number, since it is larger than the sum of its proper divisors (66782076479).

834951720961 is a wasteful number, since it uses less digits than its factorization.

834951720961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667616.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 834951720961 in words is "eight hundred thirty-four billion, nine hundred fifty-one million, seven hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 19 41 643 779 12217 26363 500897 1666913 31671347 68343433 1071825059 1298525227 20364676121 43944827419 834951720961