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903303420661 = 17100981526193
BaseRepresentation
bin11010010010100010001…
…01000101101011110101
310012100120202202020110201
431021101011011223311
5104244431133430121
61530545531120501
7122155462250365
oct15112105055365
93170522666421
10903303420661
113190a8260714
121270965a3131
1367247c983a5
1431a120129a5
151876c557e91
hexd251145af5

903303420661 has 8 divisors (see below), whose sum is σ = 956450205144. Its totient is φ = 850157890560.

The previous prime is 903303420623. The next prime is 903303420667. The reversal of 903303420661 is 166024303309.

It can be written as a sum of positive squares in 4 ways, for example, as 11589599025 + 891713821636 = 107655^2 + 944306^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 903303420661 - 27 = 903303420533 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 903303420661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903303420667) 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, 1453581 + ... + 1979773.

It is an arithmetic number, because the mean of its divisors is an integer number (119556275643).

Almost surely, 2903303420661 is an apocalyptic number.

It is an amenable number.

903303420661 is a deficient number, since it is larger than the sum of its proper divisors (53146784483).

903303420661 is a wasteful number, since it uses less digits than its factorization.

903303420661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627191.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 903303420661 in words is "nine hundred three billion, three hundred three million, four hundred twenty thousand, six hundred sixty-one".

Divisors: 1 17 100981 526193 1716677 8945281 53135495333 903303420661