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601005005557 = 11217292175501
BaseRepresentation
bin10001011111011101011…
…00001001101011110101
32010110022001221121221021
420233232230021223311
534321324240134212
61140033051021141
761264315154245
oct10575654115365
92113261847837
10601005005557
11211980726100
129858b43a7b1
134489cc2ab58
1421135935b25
15109781dc307
hex8beeb09af5

601005005557 has 12 divisors (see below), whose sum is σ = 699468151788. Its totient is φ = 514228880000.

The previous prime is 601005005551. The next prime is 601005005567. The reversal of 601005005557 is 755500500106.

It can be written as a sum of positive squares in 2 ways, for example, as 265857796996 + 335147208561 = 515614^2 + 578919^2 .

It is a de Polignac number, because none of the positive numbers 2k-601005005557 is a prime.

It is a super-2 number, since 2×6010050055572 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601005005551) 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, 146085694 + ... + 146089807.

It is an arithmetic number, because the mean of its divisors is an integer number (58289012649).

Almost surely, 2601005005557 is an apocalyptic number.

It is an amenable number.

601005005557 is a deficient number, since it is larger than the sum of its proper divisors (98463146231).

601005005557 is a wasteful number, since it uses less digits than its factorization.

601005005557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292175540 (or 292175529 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 34.

The spelling of 601005005557 in words is "six hundred one billion, five million, five thousand, five hundred fifty-seven".

Divisors: 1 11 17 121 187 2057 292175501 3213930511 4966983517 35353235621 54636818687 601005005557