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66157164 = 2232193112
BaseRepresentation
bin1111110001011…
…1101001101100
311121111010120100
43330113221230
5113414012124
610321551100
71432220013
oct374275154
9147433510
1066157164
1134386947
121a1a5490
1310924668
148b01a7a
155c1c1c9
hex3f17a6c

66157164 has 54 divisors (see below), whose sum is σ = 176600060. Its totient is φ = 20824560.

The previous prime is 66157159. The next prime is 66157181. The reversal of 66157164 is 46175166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 212569 + ... + 212879.

Almost surely, 266157164 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 66157164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300030).

66157164 is an abundant number, since it is smaller than the sum of its proper divisors (110442896).

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

66157164 is a wasteful number, since it uses less digits than its factorization.

66157164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 335 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 66157164 is about 8133.7054286469. The cubic root of 66157164 is about 404.4445242679. Note that the first 3 decimals are identical.

The spelling of 66157164 in words is "sixty-six million, one hundred fifty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 311 342 622 684 933 1244 1866 2799 3732 5598 5909 11196 11818 17727 23636 35454 53181 70908 96721 106362 193442 212724 290163 386884 580326 870489 1160652 1740978 1837699 3481956 3675398 5513097 7350796 11026194 16539291 22052388 33078582 66157164