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4563749664 = 253215846353
BaseRepresentation
bin1000100000000010…
…10100101100100000
3102210001111111121100
410100001110230200
533321304442124
62032504554400
7221044142415
oct42001245440
912701444540
104563749664
111a32132741
12a74482a00
135796673b6
1431418210c
151ba9d21c9
hex110054b20

4563749664 has 36 divisors (see below), whose sum is σ = 12978163926. Its totient is φ = 1521249792.

The previous prime is 4563749653. The next prime is 4563749711. The reversal of 4563749664 is 4669473654.

It is a happy number.

4563749664 is a `hidden beast` number, since 4 + 563 + 74 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4421186064 + 142563600 = 66492^2 + 11940^2 .

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

It is a super-2 number, since 2×45637496642 = 41655621991320225792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4563749664.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7922889 + ... + 7923464.

Almost surely, 24563749664 is an apocalyptic number.

It is an amenable number.

4563749664 is an abundant number, since it is smaller than the sum of its proper divisors (8414414262).

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

4563749664 is a wasteful number, since it uses less digits than its factorization.

4563749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15846369 (or 15846358 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 4563749664 is about 67555.5302251414. The cubic root of 4563749664 is about 1658.7232724289.

The spelling of 4563749664 in words is "four billion, five hundred sixty-three million, seven hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 15846353 31692706 47539059 63385412 95078118 126770824 142617177 190156236 253541648 285234354 380312472 507083296 570468708 760624944 1140937416 1521249888 2281874832 4563749664