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450815038381 = 4131335129357
BaseRepresentation
bin1101000111101101010…
…10111001001110101101
31121002122002000210002101
412203312222321032231
524341232122212011
6543033534455101
744366421412651
oct6436652711655
91532562023071
10450815038381
1116420a377894
1273455064491
13336861c7ba6
1417b68c54a61
15bad7ad62c1
hex68f6ab93ad

450815038381 has 8 divisors (see below), whose sum is σ = 463285973304. Its totient is φ = 438414362880.

The previous prime is 450815038361. The next prime is 450815038409. The reversal of 450815038381 is 183830518054.

It can be written as a sum of positive squares in 4 ways, for example, as 7838269156 + 442976769225 = 88534^2 + 665565^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 450815038381 - 223 = 450806649773 is a prime.

It is a super-2 number, since 2×4508150383812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450815038361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17551846 + ... + 17577511.

It is an arithmetic number, because the mean of its divisors is an integer number (57910746663).

Almost surely, 2450815038381 is an apocalyptic number.

450815038381 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

450815038381 is a deficient number, since it is larger than the sum of its proper divisors (12470934923).

450815038381 is a wasteful number, since it uses less digits than its factorization.

450815038381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35129711.

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 450815038381 in words is "four hundred fifty billion, eight hundred fifteen million, thirty-eight thousand, three hundred eighty-one".

Divisors: 1 41 313 12833 35129357 1440303637 10995488741 450815038381