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4480946964 = 2232139574673
BaseRepresentation
bin1000010110001010…
…11101001100010100
3102120021200200122200
410023011131030110
533134110300324
62020350124500
7216020264214
oct41305351424
912507620580
104480946964
11199a41785a
12a507b0730
13565465410
1430718a244
151b35c7ec9
hex10b15d314

4480946964 has 36 divisors (see below), whose sum is σ = 12198134676. Its totient is φ = 1378752768.

The previous prime is 4480946933. The next prime is 4480946971. The reversal of 4480946964 is 4696490844.

It is a happy number.

4480946964 is a `hidden beast` number, since 44 + 80 + 9 + 469 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1036196100 + 3444750864 = 32190^2 + 58692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4480946964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4786869 + ... + 4787804.

Almost surely, 24480946964 is an apocalyptic number.

It is an amenable number.

4480946964 is an abundant number, since it is smaller than the sum of its proper divisors (7717187712).

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

4480946964 is a wasteful number, since it uses less digits than its factorization.

4480946964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574696 (or 9574691 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4480946964 is about 66939.8757393528. The cubic root of 4480946964 is about 1648.6302637885.

The spelling of 4480946964 in words is "four billion, four hundred eighty million, nine hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9574673 19149346 28724019 38298692 57448038 86172057 114896076 124470749 172344114 248941498 344688228 373412247 497882996 746824494 1120236741 1493648988 2240473482 4480946964