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18022525504 = 269721732
BaseRepresentation
bin10000110010001110…
…011110101001000000
31201112000120011012121
4100302032132221000
5243402231304004
612140205134024
71205420640064
oct206216365100
951460504177
1018022525504
117709278185
1235ab85a314
131912ab9399
14c2d811aa4
15707357854
hex43239ea40

18022525504 has 63 divisors (see below), whose sum is σ = 36346031067. Its totient is φ = 8866811904.

The previous prime is 18022525453. The next prime is 18022525511. The reversal of 18022525504 is 40552522081.

The square root of 18022525504 is 134248.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3118999104 + 14903526400 = 55848^2 + 122080^2 .

It is a super-2 number, since 2×180225255042 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18022525504.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104176362 + ... + 104176534.

Almost surely, 218022525504 is an apocalyptic number.

18022525504 is the 134248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18022525504

18022525504 is an abundant number, since it is smaller than the sum of its proper divisors (18323505563).

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

18022525504 is an frugal number, since it uses more digits than its factorization.

18022525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 18022525504 in words is "eighteen billion, twenty-two million, five hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 97 173 194 346 388 692 776 1384 1552 2768 3104 5536 6208 9409 11072 16781 18818 29929 33562 37636 59858 67124 75272 119716 134248 150544 239432 268496 301088 478864 536992 602176 957728 1073984 1627757 1915456 2903113 3255514 5806226 6511028 11612452 13022056 23224904 26044112 46449808 52088224 92899616 104176448 185799232 281601961 563203922 1126407844 2252815688 4505631376 9011262752 18022525504