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450861347493 = 32298924180537
BaseRepresentation
bin1101000111110010110…
…11100011001010100101
31121002202022011112020200
412203321123203022211
524341331001104433
6543042311221113
744400523135644
oct6437133431245
91532668145220
10450861347493
11164233527587
1273468677799
133369299032b
1417b7106b35b
15badbbd2613
hex68f96e32a5

450861347493 has 48 divisors (see below), whose sum is σ = 684105879600. Its totient is φ = 285754613760.

The previous prime is 450861347479. The next prime is 450861347549. The reversal of 450861347493 is 394743168054.

450861347493 is a `hidden beast` number, since 4 + 5 + 0 + 86 + 1 + 3 + 474 + 93 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1126139364 + 449735208129 = 33558^2 + 670623^2 .

It is not a de Polignac number, because 450861347493 - 26 = 450861347429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450861347593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5557921 + ... + 5638457.

It is an arithmetic number, because the mean of its divisors is an integer number (14252205825).

Almost surely, 2450861347493 is an apocalyptic number.

It is an amenable number.

450861347493 is a deficient number, since it is larger than the sum of its proper divisors (233244532107).

450861347493 is a wasteful number, since it uses less digits than its factorization.

450861347493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80902 (or 80899 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 450861347493 in words is "four hundred fifty billion, eight hundred sixty-one million, three hundred forty-seven thousand, four hundred ninety-three".

Divisors: 1 3 9 29 87 89 241 261 267 723 801 2169 2581 6989 7743 20967 21449 23229 62901 64347 80537 193041 241611 622021 724833 1866063 2335573 5598189 7006719 7167793 19409417 21020157 21503379 58228251 64510137 174684753 207865997 562873093 623597991 1688619279 1727438113 1870793973 5065857837 5182314339 15546943017 50095705277 150287115831 450861347493