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4976301564 = 22321346722769
BaseRepresentation
bin1001010001001110…
…00101010111111100
3110211210210022102100
410220213011113330
540142413122224
62141443225100
7234213602553
oct45047052774
913753708370
104976301564
112123aa1023
12b6a678190
13613c81c50
14352c92d9a
151e1d24ac9
hex1289c55fc

4976301564 has 72 divisors (see below), whose sum is σ = 13576202640. Its totient is φ = 1527823872.

The previous prime is 4976301563. The next prime is 4976301619. The reversal of 4976301564 is 4651036794.

4976301564 is a `hidden beast` number, since 4 + 9 + 7 + 630 + 1 + 5 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976301563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207172 + ... + 229940.

It is an arithmetic number, because the mean of its divisors is an integer number (188558370).

Almost surely, 24976301564 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 4976301564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788101320).

4976301564 is an abundant number, since it is smaller than the sum of its proper divisors (8599901076).

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

4976301564 is a wasteful number, since it uses less digits than its factorization.

4976301564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23259 (or 23254 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4976301564 is about 70542.9058375114. The cubic root of 4976301564 is about 1707.2700834793.

The spelling of 4976301564 in words is "four billion, nine hundred seventy-six million, three hundred one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 467 468 934 1401 1868 2802 4203 5604 6071 8406 12142 16812 18213 22769 24284 36426 45538 54639 68307 72852 91076 109278 136614 204921 218556 273228 295997 409842 591994 819684 887991 1183988 1775982 2663973 3551964 5327946 10633123 10655892 21266246 31899369 42532492 63798738 95698107 127597476 138230599 191396214 276461198 382792428 414691797 552922396 829383594 1244075391 1658767188 2488150782 4976301564