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18020381581764 = 2232103268692
BaseRepresentation
bin1000001100011101100100…
…11100010110000111000100
32100210201202101011021201100
410012032302130112013010
54330221220141104024
6102154240553100100
73536633566061652
oct406166234260704
970721671137640
1018020381581764
115818445681301
1220305793b7630
13a094124ba423
14464296621dd2
15213b4139a7c9
hex1063b27161c4

18020381581764 has 81 divisors (see below), whose sum is σ = 46004758991373. Its totient is φ = 5947609485024.

The previous prime is 18020381581753. The next prime is 18020381581789. The reversal of 18020381581764 is 46718518302081.

The square root of 18020381581764 is 4245042.

It is a perfect power (a square), and thus also a powerful number.

18020381581764 is a `hidden beast` number, since 1 + 8 + 0 + 20 + 38 + 1 + 581 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 256179724164 + 17764201857600 = 506142^2 + 4214760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18020381581764.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2623432522 + ... + 2623439390.

Almost surely, 218020381581764 is an apocalyptic number.

18020381581764 is the 4245042-nd square number.

It is an amenable number.

18020381581764 is an abundant number, since it is smaller than the sum of its proper divisors (27984377409609).

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

18020381581764 is an frugal number, since it uses more digits than its factorization.

18020381581764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18020381581764 in words is "eighteen trillion, twenty billion, three hundred eighty-one million, five hundred eighty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 6869 10609 13738 20607 21218 27476 31827 41214 42436 61821 63654 82428 95481 123642 127308 190962 247284 381924 707507 1415014 2122521 2830028 4245042 6367563 8490084 12735126 25470252 47183161 72873221 94366322 141549483 145746442 188732644 218619663 283098966 291492884 424648449 437239326 566197932 655858989 849296898 874478652 1311717978 1698593796 2623435956 4859865583 9719731166 14579596749 19439462332 29159193498 43738790247 58318386996 87477580494 174955160988 500566155049 1001132310098 1501698465147 2002264620196 3003396930294 4505095395441 6006793860588 9010190790882 18020381581764