Search a number
-
+
66801644 = 22713219743
BaseRepresentation
bin1111111011010…
…0111111101100
311122200212121222
43332310333230
5114100123034
610343442512
71440542660
oct376647754
9148625558
1066801644
1134787078
121a456438
1310abbb00
148c2c8a0
155ce812e
hex3fb4fec

66801644 has 72 divisors (see below), whose sum is σ = 152490240. Its totient is φ = 25002432.

The previous prime is 66801601. The next prime is 66801659. The reversal of 66801644 is 44610866.

It is a super-2 number, since 2×668016442 = 8924919282205472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89537 + ... + 90279.

It is an arithmetic number, because the mean of its divisors is an integer number (2117920).

Almost surely, 266801644 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 66801644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76245120).

66801644 is an abundant number, since it is smaller than the sum of its proper divisors (85688596).

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

66801644 is a wasteful number, since it uses less digits than its factorization.

66801644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 66801644 is about 8173.2272695674. The cubic root of 66801644 is about 405.7536016962.

The spelling of 66801644 in words is "sixty-six million, eight hundred one thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 169 182 247 266 338 364 494 532 676 743 988 1183 1486 1729 2366 2972 3211 3458 4732 5201 6422 6916 9659 10402 12844 14117 19318 20804 22477 28234 38636 44954 56468 67613 89908 98819 125567 135226 183521 197638 251134 270452 367042 395276 502268 734084 878969 1284647 1757938 2385773 2569294 3515876 4771546 5138588 9543092 16700411 33400822 66801644