Search a number
-
+
18205000944 = 2431367716133
BaseRepresentation
bin10000111101000110…
…100100010011110000
31201222201220212110020
4100331012210103300
5244240440012234
612210244203440
71213064645334
oct207506442360
951881825406
1018205000944
1177a2280729
123640999580
131941848c10
14c49b517c4
1571839e549
hex43d1a44f0

18205000944 has 160 divisors (see below), whose sum is σ = 52135663104. Its totient is φ = 5439329280.

The previous prime is 18205000927. The next prime is 18205000949. The reversal of 18205000944 is 44900050281.

It is a super-2 number, since 2×182050009442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18205000949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2965302 + ... + 2971434.

Almost surely, 218205000944 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 18205000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067831552).

18205000944 is an abundant number, since it is smaller than the sum of its proper divisors (33930662160).

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

18205000944 is a wasteful number, since it uses less digits than its factorization.

18205000944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 18205000944 in words is "eighteen billion, two hundred five million, nine hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 71 78 104 134 142 156 201 208 213 268 284 312 402 426 536 568 624 804 852 871 923 1072 1136 1608 1704 1742 1846 2613 2769 3216 3408 3484 3692 4757 5226 5538 6133 6968 7384 9514 10452 11076 12266 13936 14271 14768 18399 19028 20904 22152 24532 28542 36798 38056 41808 44304 49064 57084 61841 73596 76112 79729 98128 114168 123682 147192 159458 185523 228336 239187 247364 294384 318916 371046 410911 435443 478374 494728 637832 742092 821822 870886 956748 989456 1232733 1275664 1306329 1484184 1643644 1741772 1913496 2465466 2612658 2968368 3287288 3483544 3826992 4930932 5225316 5341843 5660759 6574576 6967088 9861864 10450632 10683686 11321518 16025529 16982277 19723728 20901264 21367372 22643036 29174681 32051058 33964554 42734744 45286072 58349362 64102116 67929108 85469488 87524043 90572144 116698724 128204232 135858216 175048086 233397448 256408464 271716432 350096172 379270853 466794896 700192344 758541706 1137812559 1400384688 1517083412 2275625118 3034166824 4551250236 6068333648 9102500472 18205000944