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450363241332 = 223212510090037
BaseRepresentation
bin1101000110110111011…
…11011011001101110100
31121001110120220010001100
412203123233123031310
524334320442210312
6542521035130100
744352264250254
oct6433357331564
91531416803040
10450363241332
11163aa8343aa4
12733498a3930
133361371c264
1417b24c49964
15baad0e05dc
hex68dbbdb374

450363241332 has 18 divisors (see below), whose sum is σ = 1138418193458. Its totient is φ = 150121080432.

The previous prime is 450363241331. The next prime is 450363241333. The reversal of 450363241332 is 233142363054.

450363241332 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 632 + 4 + 13 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (450363241331) and next prime (450363241333).

It can be written as a sum of positive squares in only one way, i.e., 439362168336 + 11001072996 = 662844^2 + 104886^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12510090037 = 450363241332 / (4 + 5 + 0 + 3 + 6 + 3 + 2 + 4 + 1 + 3 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450363241331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6255044983 + ... + 6255045054.

Almost surely, 2450363241332 is an apocalyptic number.

It is an amenable number.

450363241332 is an abundant number, since it is smaller than the sum of its proper divisors (688054952126).

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

450363241332 is a wasteful number, since it uses less digits than its factorization.

450363241332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12510090047 (or 12510090042 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 450363241332 in words is "four hundred fifty billion, three hundred sixty-three million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 12510090037 25020180074 37530270111 50040360148 75060540222 112590810333 150121080444 225181620666 450363241332