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1004204433349 = 132923269114473
BaseRepresentation
bin11101001110011110011…
…11111001111111000101
310120000000201210202202201
432213033033321333011
5112423102313331344
62045154122034501
7132360056563135
oct16471717717705
93500021722681
101004204433349
1135797624a9a7
12142756048a31
1373908367420
14368649b4ac5
151b1c591e4d4
hexe9cf3f9fc5

1004204433349 has 16 divisors (see below), whose sum is σ = 1118800191600. Its totient is φ = 894947590656.

The previous prime is 1004204433259. The next prime is 1004204433371. The reversal of 1004204433349 is 9433344024001.

It can be written as a sum of positive squares in 8 ways, for example, as 7365930625 + 996838502724 = 85825^2 + 998418^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004204433349 - 29 = 1004204432837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004204433389) 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, 8715177 + ... + 8829649.

It is an arithmetic number, because the mean of its divisors is an integer number (69925011975).

Almost surely, 21004204433349 is an apocalyptic number.

It is an amenable number.

1004204433349 is a deficient number, since it is larger than the sum of its proper divisors (114595758251).

1004204433349 is a wasteful number, since it uses less digits than its factorization.

1004204433349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137784.

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 1004204433349 in words is "one trillion, four billion, two hundred four million, four hundred thirty-three thousand, three hundred forty-nine".

Divisors: 1 13 29 377 23269 114473 302497 674801 1488149 3319717 8772413 43156321 2663672237 34627739081 77246494873 1004204433349