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18019345728 = 2633723910613
BaseRepresentation
bin10000110010000010…
…010110010101000000
31201111210120121101010
4100302002112111000
5243400423030403
612140013040520
71205351624436
oct206202262500
951453517333
1018019345728
1177074a616a
1235aa786140
131912244c67
14c2d224d56
15706e2a603
hex432096540

18019345728 has 112 divisors (see below), whose sum is σ = 49174237440. Its totient is φ = 5819111424.

The previous prime is 18019345709. The next prime is 18019345739. The reversal of 18019345728 is 82754391081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692550 + ... + 1703162.

Almost surely, 218019345728 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 18019345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587118720).

18019345728 is an abundant number, since it is smaller than the sum of its proper divisors (31154891712).

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

18019345728 is a wasteful number, since it uses less digits than its factorization.

18019345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 18019345728 in words is "eighteen billion, nineteen million, three hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 239 296 444 478 592 717 888 956 1184 1434 1776 1912 2368 2868 3552 3824 5736 7104 7648 8843 10613 11472 15296 17686 21226 22944 26529 31839 35372 42452 45888 53058 63678 70744 84904 106116 127356 141488 169808 212232 254712 282976 339616 392681 424464 509424 565952 679232 785362 848928 1018848 1178043 1570724 1697856 2037696 2356086 2536507 3141448 4712172 5073014 6282896 7609521 9424344 10146028 12565792 15219042 18848688 20292056 25131584 30438084 37697376 40584112 60876168 75394752 81168224 93850759 121752336 162336448 187701518 243504672 281552277 375403036 487009344 563104554 750806072 1126209108 1501612144 2252418216 3003224288 4504836432 6006448576 9009672864 18019345728