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66496356 = 22331733559
BaseRepresentation
bin1111110110101…
…0011101100100
311122010100212000
43331222131210
5114010340411
610333125300
71435131633
oct375523544
9148110760
1066496356
1134598773
121a329830
1310a12b74
148b8d51a
155c87956
hex3f6a764

66496356 has 48 divisors (see below), whose sum is σ = 173443200. Its totient is φ = 22031136.

The previous prime is 66496351. The next prime is 66496373. The reversal of 66496356 is 65369466.

66496356 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 635 + 6 = 666.

It is a super-2 number, since 2×664963562 = 8843530722557472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66496351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16905 + ... + 20463.

It is an arithmetic number, because the mean of its divisors is an integer number (3613400).

Almost surely, 266496356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66496356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86721600).

66496356 is an abundant number, since it is smaller than the sum of its proper divisors (106946844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66496356 is a wasteful number, since it uses less digits than its factorization.

66496356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3737 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 66496356 is about 8154.5297841139. The cubic root of 66496356 is about 405.1345506302.

It can be divided in two parts, 664 and 96356, that added together give a triangular number (97020 = T440).

The spelling of 66496356 in words is "sixty-six million, four hundred ninety-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3114 3559 4671 6228 7118 9342 10677 14236 18684 21354 32031 42708 64062 96093 128124 192186 384372 615707 1231414 1847121 2462828 3694242 5541363 7388484 11082726 16624089 22165452 33248178 66496356