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18918104364 = 22341013131847
BaseRepresentation
bin10001100111100110…
…110101110100101100
31210211102202021110000
4101213212311310230
5302221013314424
612405120344300
71236544143135
oct214746656454
953742667400
1018918104364
11802885a8a5
1237bb775090
131a264c55c3
14cb673ac8c
1575acae3c9
hex4679b5d2c

18918104364 has 120 divisors (see below), whose sum is σ = 50132019168. Its totient is φ = 6220281600.

The previous prime is 18918104363. The next prime is 18918104377. The reversal of 18918104364 is 46340181981.

18918104364 is a `hidden beast` number, since 189 + 1 + 8 + 104 + 364 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18918104363) 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 39 ways as a sum of consecutive naturals, for example, 10241689 + ... + 10243535.

Almost surely, 218918104364 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 18918104364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25066009584).

18918104364 is an abundant number, since it is smaller than the sum of its proper divisors (31213914804).

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

18918104364 is a wasteful number, since it uses less digits than its factorization.

18918104364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2266 counting only the distinct ones).

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

The spelling of 18918104364 in words is "eighteen billion, nine hundred eighteen million, one hundred four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 313 324 404 606 626 909 939 1212 1252 1818 1847 1878 2727 2817 3636 3694 3756 5454 5541 5634 7388 8181 8451 10908 11082 11268 16362 16623 16902 22164 25353 31613 32724 33246 33804 49869 50706 63226 66492 94839 99738 101412 126452 149607 186547 189678 199476 284517 299214 373094 379356 559641 569034 578111 598428 746188 853551 1119282 1138068 1156222 1678923 1707102 1734333 2238564 2312444 2560653 3357846 3414204 3468666 5036769 5121306 5202999 6715692 6937332 10073538 10242612 10405998 15110307 15608997 20147076 20811996 30220614 31217994 46826991 58389211 60441228 62435988 93653982 116778422 175167633 187307964 233556844 350335266 525502899 700670532 1051005798 1576508697 2102011596 3153017394 4729526091 6306034788 9459052182 18918104364