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18909073728 = 263353206467
BaseRepresentation
bin10001100111000100…
…011001000101000000
31210210210202110202000
4101213010121011000
5302211210324403
612404155024000
71236404321556
oct214704310500
953723673660
1018909073728
118023751a66
1237b873b000
131a2468302c
14cb5469bd6
1575a0c87a3
hex467119140

18909073728 has 112 divisors (see below), whose sum is σ = 56638301760. Its totient is φ = 6184069632.

The previous prime is 18909073721. The next prime is 18909073747. The reversal of 18909073728 is 82737090981.

18909073728 is a `hidden beast` number, since 189 + 0 + 90 + 7 + 372 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (18909073721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11650 + ... + 194817.

Almost surely, 218909073728 is an apocalyptic number.

18909073728 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 18909073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28319150880).

18909073728 is an abundant number, since it is smaller than the sum of its proper divisors (37729228032).

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

18909073728 is a wasteful number, since it uses less digits than its factorization.

18909073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206541 (or 206525 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 18909073728 in words is "eighteen billion, nine hundred nine million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1696 1728 1908 2544 2862 3392 3816 5088 5724 7632 10176 11448 15264 22896 30528 45792 91584 206467 412934 619401 825868 1238802 1651736 1858203 2477604 3303472 3716406 4955208 5574609 6606944 7432812 9910416 10942751 11149218 13213888 14865624 19820832 21885502 22298436 29731248 32828253 39641664 43771004 44596872 59462496 65656506 87542008 89193744 98484759 118924992 131313012 175084016 178387488 196969518 262626024 295454277 350168032 356774976 393939036 525252048 590908554 700336064 787878072 1050504096 1181817108 1575756144 2101008192 2363634216 3151512288 4727268432 6303024576 9454536864 18909073728