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18140375759104 = 283142772
BaseRepresentation
bin1000001111111101000101…
…01001110011100100000000
32101020012110222101002000201
410013332202221303210000
54334202442143242404
6102325323520454544
73551412264543454
oct407764251634400
971205428332021
1018140375759104
115864321219805
12204b88717a454
13a17826416421
14469ddac90664
15216d15aa0ca4
hex107fa2a73900

18140375759104 has 135 divisors (see below), whose sum is σ = 37552452383985. Its totient is φ = 8745913082880.

The previous prime is 18140375759021. The next prime is 18140375759117. The reversal of 18140375759104 is 40195757304181.

The square root of 18140375759104 is 4259152.

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

It can be written as a sum of positive squares in only one way, i.e., 3126672697600 + 15013703061504 = 1768240^2 + 3874752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 65488721014 + ... + 65488721290.

Almost surely, 218140375759104 is an apocalyptic number.

18140375759104 is the 4259152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18140375759104

18140375759104 is an abundant number, since it is smaller than the sum of its proper divisors (19412076624881).

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

18140375759104 is an frugal number, since it uses more digits than its factorization.

18140375759104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 18140375759104 in words is "eighteen trillion, one hundred forty billion, three hundred seventy-five million, seven hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 277 496 554 961 992 1108 1922 1984 2216 3844 3968 4432 7688 7936 8587 8864 15376 17174 17728 29791 30752 34348 35456 59582 61504 68696 70912 76729 119164 123008 137392 153458 238328 246016 266197 274784 306916 476656 532394 549568 613832 923521 953312 1064788 1099136 1227664 1847042 1906624 2129576 2198272 2378599 2455328 3694084 3813248 4259152 4757198 4910656 7388168 7626496 8252107 8518304 9514396 9821312 14776336 16504214 17036608 19028792 19642624 29552672 33008428 34073216 38057584 59105344 66016856 68146432 73736569 76115168 118210688 132033712 147473138 152230336 236421376 255815317 264067424 294946276 304460672 511630634 528134848 589892552 608921344 1023261268 1056269696 1179785104 2046522536 2112539392 2285833639 2359570208 4093045072 4571667278 4719140416 8186090144 9143334556 9438280832 16372180288 18286669112 18876561664 32744360576 36573338224 65488721152 70860842809 73146676448 141721685618 146293352896 283443371236 292586705792 566886742472 585173411584 1133773484944 2267546969888 4535093939776 9070187879552 18140375759104