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450642060045 = 32516361437227
BaseRepresentation
bin1101000111011000101…
…11000010001100001101
31121002012000112120102100
412203230113002030031
524340403331410140
6543004435145313
744362221210642
oct6435427021415
91532160476370
10450642060045
11164130770691
1273407145239
1333659412048
1417b4dca7dc9
15bac7818530
hex68ec5c230d

450642060045 has 24 divisors (see below), whose sum is σ = 785905020576. Its totient is φ = 238867934688.

The previous prime is 450642060031. The next prime is 450642060083. The reversal of 450642060045 is 540060246054.

450642060045 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 4 + 2 + 0 + 600 + 45 = 666.

It is not a de Polignac number, because 450642060045 - 25 = 450642060013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 450642059991 and 450642060009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30711279 + ... + 30725948.

It is an arithmetic number, because the mean of its divisors is an integer number (32746042524).

Almost surely, 2450642060045 is an apocalyptic number.

450642060045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450642060045 is a deficient number, since it is larger than the sum of its proper divisors (335262960531).

450642060045 is a wasteful number, since it uses less digits than its factorization.

450642060045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61437401 (or 61437398 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 450642060045 in words is "four hundred fifty billion, six hundred forty-two million, sixty thousand, forty-five".

Divisors: 1 3 5 9 15 45 163 489 815 1467 2445 7335 61437227 184311681 307186135 552935043 921558405 2764675215 10014268001 30042804003 50071340005 90128412009 150214020015 450642060045