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66203664 = 2435997241
BaseRepresentation
bin1111110010001…
…1000000010000
311121120111100120
43330203000100
5113422004124
610322550240
71432502412
oct374430020
9147514316
1066203664
113440887a
121a208380
131093c887
148b149b2
155c2ad79
hex3f23010

66203664 has 80 divisors (see below), whose sum is σ = 176447040. Its totient is φ = 21381120.

The previous prime is 66203663. The next prime is 66203681. The reversal of 66203664 is 46630266.

It is not an unprimeable number, because it can be changed into a prime (66203663) 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, 274584 + ... + 274824.

It is an arithmetic number, because the mean of its divisors is an integer number (2205588).

Almost surely, 266203664 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 66203664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88223520).

66203664 is an abundant number, since it is smaller than the sum of its proper divisors (110243376).

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

66203664 is a wasteful number, since it uses less digits than its factorization.

66203664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 66203664 is about 8136.5634023216. The cubic root of 66203664 is about 404.5392596160.

The spelling of 66203664 in words is "sixty-six million, two hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 97 118 177 194 236 241 291 354 388 472 482 582 708 723 776 944 964 1164 1416 1446 1552 1928 2328 2832 2892 3856 4656 5723 5784 11446 11568 14219 17169 22892 23377 28438 34338 42657 45784 46754 56876 68676 70131 85314 91568 93508 113752 137352 140262 170628 187016 227504 274704 280524 341256 374032 561048 682512 1122096 1379243 2758486 4137729 5516972 8275458 11033944 16550916 22067888 33101832 66203664