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450135836748 = 223213961828711
BaseRepresentation
bin1101000110011100010…
…11111100100001001100
31121000212201222202121100
412203032023330201030
524333334233233443
6542442313103100
744343533324163
oct6431613744114
91530781882540
10450135836748
111639a0a43624
12732a56b7a90
13335a858b430
1417b029723da
15ba981713d3
hex68ce2fc84c

450135836748 has 36 divisors (see below), whose sum is σ = 1225369779088. Its totient is φ = 138503334240.

The previous prime is 450135836743. The next prime is 450135836771. The reversal of 450135836748 is 847638531054.

450135836748 is a `hidden beast` number, since 4 + 5 + 0 + 13 + 583 + 6 + 7 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 450135836694 and 450135836703.

It is not an unprimeable number, because it can be changed into a prime (450135836743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480913888 + ... + 480914823.

Almost surely, 2450135836748 is an apocalyptic number.

It is an amenable number.

450135836748 is an abundant number, since it is smaller than the sum of its proper divisors (775233942340).

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

450135836748 is a wasteful number, since it uses less digits than its factorization.

450135836748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961828734 (or 961828729 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 450135836748 in words is "four hundred fifty billion, one hundred thirty-five million, eight hundred thirty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 961828711 1923657422 2885486133 3847314844 5770972266 8656458399 11541944532 12503773243 17312916798 25007546486 34625833596 37511319729 50015092972 75022639458 112533959187 150045278916 225067918374 450135836748