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83351154436 = 2211411932
BaseRepresentation
bin100110110100000011…
…1011010111100000100
321222010212220100122221
41031220013122330010
52331200343420221
6102142504302124
76010343060104
oct1155007327404
9258125810587
1083351154436
1132392610000
12141a2171944
137b244b7b34
144069c6d204
15227c7c8541
hex13681daf04

83351154436 has 45 divisors (see below), whose sum is σ = 160584581605. Its totient is φ = 37855130720.

The previous prime is 83351154421. The next prime is 83351154437. The reversal of 83351154436 is 63445115338.

The square root of 83351154436 is 288706.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42811748100 + 40539406336 = 206910^2 + 201344^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83351154392 and 83351154401.

It is not an unprimeable number, because it can be changed into a prime (83351154437) 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 14 ways as a sum of consecutive naturals, for example, 69866256 + ... + 69867448.

Almost surely, 283351154436 is an apocalyptic number.

83351154436 is the 288706-th square number.

It is an amenable number.

83351154436 is a deficient number, since it is larger than the sum of its proper divisors (77233427169).

83351154436 is an frugal number, since it uses more digits than its factorization.

83351154436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1206 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 83351154436 in words is "eighty-three billion, three hundred fifty-one million, one hundred fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 44 121 242 484 1193 1331 2386 2662 4772 5324 13123 14641 26246 29282 52492 58564 144353 288706 577412 1423249 1587883 2846498 3175766 5692996 6351532 15655739 17466713 31311478 34933426 62622956 69866852 172213129 344426258 688852516 1894344419 3788688838 7577377676 20837788609 41675577218 83351154436