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45340036624 = 24532332
BaseRepresentation
bin101010001110011110…
…100000111000010000
311100000211021111121201
4222032132200320100
51220324022132444
632455014200544
73163365644461
oct521636407020
9140024244551
1045340036624
11182572a5653
128954353154
1343774b934c
1422a18a4d68
1512a5709dd4
hexa8e7a0e10

45340036624 has 15 divisors (see below), whose sum is σ = 87847971213. Its totient is φ = 22669592448.

The previous prime is 45340036619. The next prime is 45340036627. The reversal of 45340036624 is 42663004354.

It is a happy number.

The square root of 45340036624 is 212932.

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., 1421290000 + 43918746624 = 37700^2 + 209568^2 .

It is a super-2 number, since 2×453400366242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45340036627) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 825112 + ... + 878344.

Almost surely, 245340036624 is an apocalyptic number.

45340036624 is the 212932-nd square number.

It is an amenable number.

45340036624 is a deficient number, since it is larger than the sum of its proper divisors (42507934589).

45340036624 is an frugal number, since it uses more digits than its factorization.

45340036624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106474 (or 53235 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 45340036624 in words is "forty-five billion, three hundred forty million, thirty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 53233 106466 212932 425864 851728 2833752289 5667504578 11335009156 22670018312 45340036624