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18523482201 = 327264812
BaseRepresentation
bin10001010000000101…
…011110100001011001
31202210221012101121100
4101100011132201121
5300414002412301
612302022302013
71224013000200
oct212005364131
952727171540
1018523482201
117946028384
12370b587909
131992817a73
14c7a176237
1573630e286
hex45015e859

18523482201 has 27 divisors (see below), whose sum is σ = 31129293663. Its totient is φ = 10583213760.

The previous prime is 18523482179. The next prime is 18523482233. The reversal of 18523482201 is 10228432581.

It is a happy number.

The square root of 18523482201 is 136101.

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., 17609024601 + 914457600 = 132699^2 + 30240^2 .

It is not a de Polignac number, because 18523482201 - 25 = 18523482169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18523482281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2854881 + ... + 2861361.

Almost surely, 218523482201 is an apocalyptic number.

18523482201 is the 136101-st square number.

18523482201 is the 68051-st centered octagonal number.

It is an amenable number.

18523482201 is a deficient number, since it is larger than the sum of its proper divisors (12605811462).

18523482201 is an frugal number, since it uses more digits than its factorization.

18523482201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 18523482201 by its sum of digits (36), we get a square (666845359236 = 8166062).

The spelling of 18523482201 in words is "eighteen billion, five hundred twenty-three million, four hundred eighty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 6481 19443 45367 58329 136101 317569 408303 952707 2858121 42003361 126010083 294023527 378030249 882070581 2058164689 2646211743 6174494067 18523482201