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18069428016 = 2432835692657
BaseRepresentation
bin10000110101000001…
…011001011100110000
31201122021211001100200
4100311001121130300
5244001233144031
612145002315200
71206530414103
oct206501313460
951567731320
1018069428016
1177327a2792
1236034b8b00
13191c72b953
14c35b4073a
1570b51e8e6
hex435059730

18069428016 has 120 divisors (see below), whose sum is σ = 51287811120. Its totient is φ = 5937881088.

The previous prime is 18069427997. The next prime is 18069428017. The reversal of 18069428016 is 61082496081.

It is not an unprimeable number, because it can be changed into a prime (18069428017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6799360 + ... + 6802016.

It is an arithmetic number, because the mean of its divisors is an integer number (427398426).

Almost surely, 218069428016 is an apocalyptic number.

18069428016 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 18069428016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25643905560).

18069428016 is an abundant number, since it is smaller than the sum of its proper divisors (33218383104).

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

18069428016 is a wasteful number, since it uses less digits than its factorization.

18069428016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18069428016 in words is "eighteen billion, sixty-nine million, four hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 569 664 747 996 1138 1328 1494 1707 1992 2276 2657 2988 3414 3984 4552 5121 5314 5976 6828 7971 9104 10242 10628 11952 13656 15942 20484 21256 23913 27312 31884 40968 42512 47227 47826 63768 81936 94454 95652 127536 141681 188908 191304 220531 283362 377816 382608 425043 441062 566724 661593 755632 850086 882124 1133448 1323186 1511833 1700172 1764248 1984779 2266896 2646372 3023666 3400344 3528496 3969558 4535499 5292744 6047332 6800688 7939116 9070998 10585488 12094664 13606497 15878232 18141996 24189328 27212994 31756464 36283992 54425988 72567984 108851976 125482139 217703952 250964278 376446417 501928556 752892834 1003857112 1129339251 1505785668 2007714224 2258678502 3011571336 4517357004 6023142672 9034714008 18069428016