Search a number
-
+
18171611136 = 211327140839
BaseRepresentation
bin10000111011000111…
…001100100000000000
31201220102002111020200
4100323013030200000
5244203413024021
612203052405200
71212211101060
oct207307144000
951812074220
1018171611136
117785445448
123631776800
131937958033
14c4553d3a0
157154a6126
hex43b1cc800

18171611136 has 144 divisors (see below), whose sum is σ = 59980939200. Its totient is φ = 5191852032.

The previous prime is 18171611119. The next prime is 18171611137. The reversal of 18171611136 is 63111617181.

18171611136 is a `hidden beast` number, since 1 + 8 + 1 + 7 + 1 + 611 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18171611136.

It is not an unprimeable number, because it can be changed into a prime (18171611137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58605 + ... + 199443.

It is an arithmetic number, because the mean of its divisors is an integer number (416534300).

Almost surely, 218171611136 is an apocalyptic number.

18171611136 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 18171611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29990469600).

18171611136 is an abundant number, since it is smaller than the sum of its proper divisors (41809328064).

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

18171611136 is a wasteful number, since it uses less digits than its factorization.

18171611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140874 (or 140851 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The spelling of 18171611136 in words is "eighteen billion, one hundred seventy-one million, six hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024 140839 281678 422517 563356 845034 985873 1126712 1267551 1690068 1971746 2253424 2535102 2957619 3380136 3943492 4506848 5070204 5915238 6760272 7886984 8872857 9013696 10140408 11830476 13520544 15773968 17745714 18027392 20280816 23660952 27041088 31547936 35491428 36054784 40561632 47321904 54082176 63095872 70982856 72109568 81123264 94643808 108164352 126191744 141965712 144219136 162246528 189287616 216328704 252383488 283931424 288438272 324493056 378575232 432657408 504766976 567862848 648986112 757150464 865314816 1009533952 1135725696 1297972224 1514300928 2019067904 2271451392 2595944448 3028601856 4542902784 6057203712 9085805568 18171611136