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66031764 = 223191092657
BaseRepresentation
bin1111101111100…
…1000010010100
311121020202112220
43323321002110
5113401004024
610315142340
71431155301
oct373710224
9147222486
1066031764
1134300707
121a1449b0
13108ac566
148aac0a8
155be4e79
hex3ef9094

66031764 has 48 divisors (see below), whose sum is σ = 163732800. Its totient is φ = 20653056.

The previous prime is 66031739. The next prime is 66031787. The reversal of 66031764 is 46713066.

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, 23524 + ... + 26180.

It is an arithmetic number, because the mean of its divisors is an integer number (3411100).

Almost surely, 266031764 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 66031764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81866400).

66031764 is an abundant number, since it is smaller than the sum of its proper divisors (97701036).

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

66031764 is a wasteful number, since it uses less digits than its factorization.

66031764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 66031764 is about 8125.9931085376. The cubic root of 66031764 is about 404.1888229514.

It can be divided in two parts, 66031 and 764, that added together give a triangular number (66795 = T365).

The spelling of 66031764 in words is "sixty-six million, thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 2657 4142 5314 6213 7971 8284 10628 12426 15942 24852 31884 50483 100966 151449 201932 289613 302898 579226 605796 868839 1158452 1737678 3475356 5502647 11005294 16507941 22010588 33015882 66031764