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18026841456 = 24321315163773
BaseRepresentation
bin10000110010011110…
…111100010101110000
31201112022200102120200
4100302132330111300
5243404332411311
612140441435200
71205502424041
oct206236742560
951468612520
1018026841456
117710755888
1235b119bb00
13191396a9c0
14c302168c8
1570790b556
hex4327bc570

18026841456 has 120 divisors (see below), whose sum is σ = 54691562016. Its totient is φ = 5509900800.

The previous prime is 18026841449. The next prime is 18026841461. The reversal of 18026841456 is 65414862081.

It is a happy number.

18026841456 is a `hidden beast` number, since 180 + 2 + 6 + 8 + 414 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 250786 + ... + 314558.

Almost surely, 218026841456 is an apocalyptic number.

18026841456 is a gapful number since it is divisible by the number (16) 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 18026841456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27345781008).

18026841456 is an abundant number, since it is smaller than the sum of its proper divisors (36664720560).

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

18026841456 is a wasteful number, since it uses less digits than its factorization.

18026841456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63951 (or 63942 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18026841456 in words is "eighteen billion, twenty-six million, eight hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 151 156 208 234 302 312 453 468 604 624 906 936 1208 1359 1812 1872 1963 2416 2718 3624 3926 5436 5889 7248 7852 10872 11778 15704 17667 21744 23556 31408 35334 47112 63773 70668 94224 127546 141336 191319 255092 282672 382638 510184 573957 765276 829049 1020368 1147914 1530552 1658098 2295828 2487147 3061104 3316196 4591656 4974294 6632392 7461441 9183312 9629723 9948588 13264784 14922882 19259446 19897176 28889169 29845764 38518892 39794352 57778338 59691528 77037784 86667507 115556676 119383056 125186399 154075568 173335014 231113352 250372798 346670028 375559197 462226704 500745596 693340056 751118394 1001491192 1126677591 1386680112 1502236788 2002982384 2253355182 3004473576 4506710364 6008947152 9013420728 18026841456