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4623536664 = 23323110092053
BaseRepresentation
bin1000100111001010…
…11001001000011000
3102221012222222221200
410103211121020120
533432111133124
62042442234200
7222401261505
oct42345311030
912835888850
104623536664
111a6295858a
12a904b5960
13588b6b416
1431c0a64ac
151c0d91bc9
hex113959218

4623536664 has 96 divisors (see below), whose sum is σ = 12945129600. Its totient is φ = 1489259520.

The previous prime is 4623536657. The next prime is 4623536669. The reversal of 4623536664 is 4666353264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623536669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2251062 + ... + 2253114.

It is an arithmetic number, because the mean of its divisors is an integer number (134845100).

Almost surely, 24623536664 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 4623536664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472564800).

4623536664 is an abundant number, since it is smaller than the sum of its proper divisors (8321592936).

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

4623536664 is a wasteful number, since it uses less digits than its factorization.

4623536664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3098 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The square root of 4623536664 is about 67996.5930322983. The cubic root of 4623536664 is about 1665.9351898030.

The spelling of 4623536664 in words is "four billion, six hundred twenty-three million, five hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1009 1116 2018 2053 2232 3027 4036 4106 6054 6159 8072 8212 9081 12108 12318 16424 18162 18477 24216 24636 31279 36324 36954 49272 62558 63643 72648 73908 93837 125116 127286 147816 187674 190929 250232 254572 281511 375348 381858 509144 563022 572787 750696 763716 1126044 1145574 1527432 2071477 2252088 2291148 4142954 4582296 6214431 8285908 12428862 16571816 18643293 24857724 37286586 49715448 64215787 74573172 128431574 149146344 192647361 256863148 385294722 513726296 577942083 770589444 1155884166 1541178888 2311768332 4623536664