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728361494064 = 24331686021977
BaseRepresentation
bin10101001100101011011…
…10100110011000110000
32120122000202122120112000
422212111232212120300
543413141020302224
61314334334334000
7103423322356101
oct12462556463060
92518022576460
10728361494064
11260995090996
12b91b295a300
13538b82367a9
1427377cb43a8
1513e2de280c9
hexa995ba6630

728361494064 has 40 divisors (see below), whose sum is σ = 2090667252720. Its totient is φ = 242787164544.

The previous prime is 728361494057. The next prime is 728361494089. The reversal of 728361494064 is 460494163827.

728361494064 is a `hidden beast` number, since 72 + 83 + 6 + 1 + 494 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 728361494064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843010557 + ... + 843011420.

It is an arithmetic number, because the mean of its divisors is an integer number (52266681318).

Almost surely, 2728361494064 is an apocalyptic number.

It is an amenable number.

728361494064 is an abundant number, since it is smaller than the sum of its proper divisors (1362305758656).

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

728361494064 is a wasteful number, since it uses less digits than its factorization.

728361494064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686021994 (or 1686021982 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 728361494064 in words is "seven hundred twenty-eight billion, three hundred sixty-one million, four hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1686021977 3372043954 5058065931 6744087908 10116131862 13488175816 15174197793 20232263724 26976351632 30348395586 40464527448 45522593379 60696791172 80929054896 91045186758 121393582344 182090373516 242787164688 364180747032 728361494064