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450425820660 = 22351910310873529
BaseRepresentation
bin1101000110111110111…
…10001001010111110100
31121001121221122110202020
412203133132021113310
524334433002230120
6542531152313140
744353654206264
oct6433736112764
91531557573666
10450425820660
1116402a6a6852
12733668427b0
133362369024a
1417b2d2997a4
15bab3852640
hex68df7895f4

450425820660 has 192 divisors, whose sum is σ = 1342073241600. Its totient is φ = 112551441408.

The previous prime is 450425820643. The next prime is 450425820661. The reversal of 450425820660 is 66028524054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450425820661) 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 63 ways as a sum of consecutive naturals, for example, 127633776 + ... + 127637304.

It is an arithmetic number, because the mean of its divisors is an integer number (6989964800).

Almost surely, 2450425820660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450425820660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671036620800).

450425820660 is an abundant number, since it is smaller than the sum of its proper divisors (891647420940).

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

450425820660 is a wasteful number, since it uses less digits than its factorization.

450425820660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 450425820660 in words is "four hundred fifty billion, four hundred twenty-five million, eight hundred twenty thousand, six hundred sixty".