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453723941664 = 25347192531307
BaseRepresentation
bin1101001101001000000…
…11011110101100100000
31121101010210122101020000
412212210003132230200
524413211312113124
6544234330420000
744531462604360
oct6464403365440
91541123571200
10453723941664
11165472377994
1273b27291600
1333a2aa65236
1417d633069a0
15bc081836c9
hex69a40deb20

453723941664 has 720 divisors, whose sum is σ = 1641127739328. Its totient is φ = 120403086336.

The previous prime is 453723941663. The next prime is 453723941681. The reversal of 453723941664 is 466149327354.

453723941664 is a `hidden beast` number, since 4 + 537 + 2 + 3 + 9 + 41 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 453723941664.

It is not an unprimeable number, because it can be changed into a prime (453723941663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 347148499 + ... + 347149805.

Almost surely, 2453723941664 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 453723941664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820563869664).

453723941664 is an abundant number, since it is smaller than the sum of its proper divisors (1187403797664).

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

453723941664 is a wasteful number, since it uses less digits than its factorization.

453723941664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1391 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 453723941664 in words is "four hundred fifty-three billion, seven hundred twenty-three million, nine hundred forty-one thousand, six hundred sixty-four".