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66269664 = 253437691
BaseRepresentation
bin1111110011001…
…1000111100000
311121200211220000
43330303013200
5113431112124
610324220000
71433166006
oct374630740
9147624800
1066269664
113445341a
121a23a600
1310963926
148b30a76
155c406c9
hex3f331e0

66269664 has 120 divisors (see below), whose sum is σ = 200454408. Its totient is φ = 21461760.

The previous prime is 66269659. The next prime is 66269677. The reversal of 66269664 is 46696266.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95559 + ... + 96249.

Almost surely, 266269664 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 66269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100227204).

66269664 is an abundant number, since it is smaller than the sum of its proper divisors (134184744).

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

66269664 is a wasteful number, since it uses less digits than its factorization.

66269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 733 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 66269664 is about 8140.6181583465. The cubic root of 66269664 is about 404.6736465565.

It can be divided in two parts, 6626 and 9664, that added together give a triangular number (16290 = T180).

The spelling of 66269664 in words is "sixty-six million, two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 691 864 888 999 1184 1296 1332 1382 1776 1998 2073 2592 2664 2764 2997 3552 3996 4146 5328 5528 5994 6219 7992 8292 10656 11056 11988 12438 15984 16584 18657 22112 23976 24876 25567 31968 33168 37314 47952 49752 51134 55971 66336 74628 76701 95904 99504 102268 111942 149256 153402 199008 204536 223884 230103 298512 306804 409072 447768 460206 597024 613608 690309 818144 895536 920412 1227216 1380618 1791072 1840824 2070927 2454432 2761236 3681648 4141854 5522472 7363296 8283708 11044944 16567416 22089888 33134832 66269664