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505554995961 = 32109515346581
BaseRepresentation
bin1110101101101010110…
…11010000101011111001
31210022220222220202010200
413112311123100223321
531240334034332321
61024125422032413
751345060364011
oct7266533205371
91708828822120
10505554995961
1118544a685154
1281b91418709
133889ac78b32
141a67ccb4c41
15d23d667d26
hex75b56d0af9

505554995961 has 12 divisors (see below), whose sum is σ = 736945612260. Its totient is φ = 333944583840.

The previous prime is 505554995903. The next prime is 505554995963. The reversal of 505554995961 is 169599455505.

505554995961 is a `hidden beast` number, since 5 + 0 + 5 + 55 + 499 + 5 + 96 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301160585961 + 204394410000 = 548781^2 + 452100^2 .

It is not a de Polignac number, because 505554995961 - 210 = 505554994937 is a prime.

It is a super-2 number, since 2×5055549959612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505554995963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257672310 + ... + 257674271.

It is an arithmetic number, because the mean of its divisors is an integer number (61412134355).

Almost surely, 2505554995961 is an apocalyptic number.

It is an amenable number.

505554995961 is a deficient number, since it is larger than the sum of its proper divisors (231390616299).

505554995961 is a wasteful number, since it uses less digits than its factorization.

505554995961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515346696 (or 515346693 counting only the distinct ones).

The product of its (nonzero) digits is 54675000, while the sum is 63.

The spelling of 505554995961 in words is "five hundred five billion, five hundred fifty-four million, nine hundred ninety-five thousand, nine hundred sixty-one".

Divisors: 1 3 9 109 327 981 515346581 1546039743 4638119229 56172777329 168518331987 505554995961