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66371316 = 223112112383
BaseRepresentation
bin1111110100101…
…1111011110100
311121220000022220
43331023323310
5113442340231
610330322340
71434101244
oct375137364
9147800286
1066371316
1134512830
121a2893b0
131099ac8b
148b59b24
155c60896
hex3f4bef4

66371316 has 48 divisors (see below), whose sum is σ = 169817088. Its totient is φ = 20008800.

The previous prime is 66371309. The next prime is 66371321. The reversal of 66371316 is 61317366.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26661 + ... + 29043.

It is an arithmetic number, because the mean of its divisors is an integer number (3537856).

Almost surely, 266371316 is an apocalyptic number.

66371316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66371316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84908544).

66371316 is an abundant number, since it is smaller than the sum of its proper divisors (103445772).

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

66371316 is a wasteful number, since it uses less digits than its factorization.

66371316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2610 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 66371316 is about 8146.8592721367. The cubic root of 66371316 is about 404.8804524461.

The spelling of 66371316 in words is "sixty-six million, three hundred seventy-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 633 844 1266 2321 2383 2532 4642 4766 6963 7149 9284 9532 13926 14298 26213 27852 28596 52426 78639 104852 157278 314556 502813 1005626 1508439 2011252 3016878 5530943 6033756 11061886 16592829 22123772 33185658 66371316