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804444444408 = 233113047138047
BaseRepresentation
bin10111011010011001010…
…00000001011011111000
32211220102010010220112210
423231030220001123320
5101140000234210113
61413320124135120
7112055611645623
oct13551450013370
92756363126483
10804444444408
11290187a0a650
1210baa69974a0
135ab219a1137
142ad1472cdba
1515dd35a96c3
hexbb4ca016f8

804444444408 has 32 divisors (see below), whose sum is σ = 2193939394560. Its totient is φ = 243771043680.

The previous prime is 804444444403. The next prime is 804444444431.

804444444408 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804444444403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1523568760 + ... + 1523569287.

It is an arithmetic number, because the mean of its divisors is an integer number (68560606080).

Almost surely, 2804444444408 is an apocalyptic number.

804444444408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

804444444408 is an abundant number, since it is smaller than the sum of its proper divisors (1389494950152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

804444444408 is a wasteful number, since it uses less digits than its factorization.

804444444408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047138067 (or 3047138063 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

The spelling of 804444444408 in words is "eight hundred four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3047138047 6094276094 9141414141 12188552188 18282828282 24377104376 33518518517 36565656564 67037037034 73131313128 100555555551 134074074068 201111111102 268148148136 402222222204 804444444408