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18500016816 = 2433319291487
BaseRepresentation
bin10001001110101011…
…111101101010110000
31202202022001020011000
4101032223331222300
5300342001014231
612255423322000
71223306356041
oct211653755260
952668036130
1018500016816
1179338604a6
123703750300
13198a9c0218
14c76dc88c8
157342266e6
hex44eafdab0

18500016816 has 160 divisors (see below), whose sum is σ = 54910771200. Its totient is φ = 5957314560.

The previous prime is 18500016809. The next prime is 18500016817. The reversal of 18500016816 is 61861000581.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18500016817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12440425 + ... + 12441911.

It is an arithmetic number, because the mean of its divisors is an integer number (343192320).

Almost surely, 218500016816 is an apocalyptic number.

18500016816 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 18500016816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27455385600).

18500016816 is an abundant number, since it is smaller than the sum of its proper divisors (36410754384).

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

18500016816 is a wasteful number, since it uses less digits than its factorization.

18500016816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 18500016816 in words is "eighteen billion, five hundred million, sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 929 1116 1487 1488 1674 1858 2232 2787 2974 3348 3716 4461 4464 5574 5948 6696 7432 8361 8922 11148 11896 13383 13392 14864 16722 17844 22296 23792 25083 26766 28799 33444 35688 40149 44592 46097 50166 53532 57598 66888 71376 80298 86397 92194 100332 107064 115196 133776 138291 160596 172794 184388 200664 214128 230392 259191 276582 321192 345588 368776 401328 414873 460784 518382 553164 642384 691176 737552 777573 829746 1036764 1106328 1244619 1381423 1382352 1555146 1659492 2073528 2212656 2489238 2762846 3110292 3318984 4144269 4147056 4978476 5525692 6220584 6637968 8288538 9956952 11051384 12432807 12441168 16577076 19913904 22102768 24865614 33154152 37298421 42824113 49731228 66308304 74596842 85648226 99462456 128472339 149193684 171296452 198924912 256944678 298387368 342592904 385417017 513889356 596774736 685185808 770834034 1027778712 1156251051 1541668068 2055557424 2312502102 3083336136 4625004204 6166672272 9250008408 18500016816