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18855640728 = 2334104927739
BaseRepresentation
bin10001100011111000…
…100011111010011000
31210200002012210110000
4101203320203322120
5302104021000403
612355005453000
71235155205331
oct214370437230
953602183400
1018855640728
117aa6576a61
1237a2871160
131a16595182
14cac31b288
157555717a3
hex463e23e98

18855640728 has 80 divisors (see below), whose sum is σ = 52865505000. Its totient is φ = 6278995584.

The previous prime is 18855640721. The next prime is 18855640733. The reversal of 18855640728 is 82704655881.

18855640728 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 564 + 0 + 72 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18855640721) 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 19 ways as a sum of consecutive naturals, for example, 665883 + ... + 693621.

Almost surely, 218855640728 is an apocalyptic number.

18855640728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18855640728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26432752500).

18855640728 is an abundant number, since it is smaller than the sum of its proper divisors (34009864272).

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

18855640728 is a wasteful number, since it uses less digits than its factorization.

18855640728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28806 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 18855640728 in words is "eighteen billion, eight hundred fifty-five million, six hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1049 2098 3147 4196 6294 8392 9441 12588 18882 25176 27739 28323 37764 55478 56646 75528 83217 84969 110956 113292 166434 169938 221912 226584 249651 332868 339876 499302 665736 679752 748953 998604 1497906 1997208 2246859 2995812 4493718 5991624 8987436 17974872 29098211 58196422 87294633 116392844 174589266 232785688 261883899 349178532 523767798 698357064 785651697 1047535596 1571303394 2095071192 2356955091 3142606788 4713910182 6285213576 9427820364 18855640728