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4466066960 = 24585765141
BaseRepresentation
bin1000010100011001…
…01100011000010000
3102112020200201010102
410022030230120100
533121303120320
62015055151532
7215446641245
oct41214543020
912466621112
104466066960
111991a84233
12a478155a8
13562355594
143051d55cc
151b2139175
hex10a32c610

4466066960 has 40 divisors (see below), whose sum is σ = 10395881496. Its totient is φ = 1784314880.

The previous prime is 4466066951. The next prime is 4466066963. The reversal of 4466066960 is 696606644.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2617754896 + 1848312064 = 51164^2 + 42992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4466066963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35990 + ... + 101130.

Almost surely, 24466066960 is an apocalyptic number.

4466066960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4466066960 is an abundant number, since it is smaller than the sum of its proper divisors (5929814536).

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

4466066960 is a wasteful number, since it uses less digits than its factorization.

4466066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66011 (or 66005 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The square root of 4466066960 is about 66828.6387711137. The cubic root of 4466066960 is about 1646.8033560980.

The spelling of 4466066960 in words is "four billion, four hundred sixty-six million, sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 857 1714 3428 4285 6856 8570 13712 17140 34280 65141 68560 130282 260564 325705 521128 651410 1042256 1302820 2605640 5211280 55825837 111651674 223303348 279129185 446606696 558258370 893213392 1116516740 2233033480 4466066960