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453311630640 = 2432511149938183
BaseRepresentation
bin1101001100010110111…
…10101000110100110000
31121100002001210210211100
412212023132220310300
524411340234140030
6544125401244400
744515325166411
oct6461336506460
91540061723740
10453311630640
11165280663580
1273a31193700
133399350320b
1417d24659808
15bbd1d8c360
hex698b7a8d30

453311630640 has 240 divisors, whose sum is σ = 1661920416000. Its totient is φ = 109817541120.

The previous prime is 453311630593. The next prime is 453311630669. The reversal of 453311630640 is 46036113354.

453311630640 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 1 + 1 + 6 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 453311630595 and 453311630604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11852989 + ... + 11891171.

It is an arithmetic number, because the mean of its divisors is an integer number (6924668400).

Almost surely, 2453311630640 is an apocalyptic number.

453311630640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453311630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830960208000).

453311630640 is an abundant number, since it is smaller than the sum of its proper divisors (1208608785360).

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

453311630640 is a wasteful number, since it uses less digits than its factorization.

453311630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39712 (or 39703 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 453311630640 its reverse (46036113354), we get a palindrome (499347743994).

The spelling of 453311630640 in words is "four hundred fifty-three billion, three hundred eleven million, six hundred thirty thousand, six hundred forty".