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660408225201 = 321131663339041
BaseRepresentation
bin10011001110000110110…
…01011100110110110001
32100010121222120211221100
421213003121130312301
541310004001201301
61223215400115013
765466350202444
oct11470331346661
92303558524840
10660408225201
1123509425425a
12a7ba9465a69
134a378b48a6a
1423d6d03d65b
15122a335b286
hex99c365cdb1

660408225201 has 24 divisors (see below), whose sum is σ = 962447298696. Its totient is φ = 436338524160.

The previous prime is 660408225181. The next prime is 660408225283. The reversal of 660408225201 is 102522804066.

It is a happy number.

660408225201 is a `hidden beast` number, since 6 + 6 + 0 + 408 + 225 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11577975201 + 648830250000 = 107601^2 + 805500^2 .

It is not a de Polignac number, because 660408225201 - 26 = 660408225137 is a prime.

It is a super-3 number, since 3×6604082252013 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (660408225601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16896241 + ... + 16935281.

It is an arithmetic number, because the mean of its divisors is an integer number (40101970779).

Almost surely, 2660408225201 is an apocalyptic number.

It is an amenable number.

660408225201 is a deficient number, since it is larger than the sum of its proper divisors (302039073495).

660408225201 is a wasteful number, since it uses less digits than its factorization.

660408225201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55793 (or 55790 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 660408225201 in words is "six hundred sixty billion, four hundred eight million, two hundred twenty-five thousand, two hundred one".

Divisors: 1 3 9 113 339 1017 16633 39041 49899 117123 149697 351369 1879529 4411633 5638587 13234899 16915761 39704697 649368953 1948106859 5844320577 73378691689 220136075067 660408225201