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66258036 = 223213314567
BaseRepresentation
bin1111110011000…
…0010001110100
311121200020221100
43330300101310
5113430224121
610324050100
71433120055
oct374602164
9147606840
1066258036
1134445709
121a233930
131095b550
148b2a72c
155c3c026
hex3f30474

66258036 has 72 divisors (see below), whose sum is σ = 186228224. Its totient is φ = 19725120.

The previous prime is 66258029. The next prime is 66258037. The reversal of 66258036 is 63085266.

66258036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66258037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12225 + ... + 16791.

Almost surely, 266258036 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 66258036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93114112).

66258036 is an abundant number, since it is smaller than the sum of its proper divisors (119970188).

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

66258036 is a wasteful number, since it uses less digits than its factorization.

66258036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66258036 is about 8139.9039306370. The cubic root of 66258036 is about 404.6499764983.

The spelling of 66258036 in words is "sixty-six million, two hundred fifty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4567 4836 7254 9134 13701 14508 18268 27402 41103 54804 59371 82206 118742 141577 164412 178113 237484 283154 356226 424731 534339 566308 712452 849462 1068678 1274193 1698924 1840501 2137356 2548386 3681002 5096772 5521503 7362004 11043006 16564509 22086012 33129018 66258036