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450753481972 = 221973272920929
BaseRepresentation
bin1101000111100110000…
…00000100110011110100
31121002110210012101120101
412203303000010303310
524341120342410342
6543023455243444
744365043244133
oct6436300046364
91532423171511
10450753481972
11164188653622
1273438519584
1333676524691
1417b609cd91a
15bad24c73b7
hex68f3004cf4

450753481972 has 24 divisors (see below), whose sum is σ = 789545320200. Its totient is φ = 225169207296.

The previous prime is 450753481967. The next prime is 450753481973. The reversal of 450753481972 is 279184357054.

It can be written as a sum of positive squares in 4 ways, for example, as 128397522276 + 322355959696 = 358326^2 + 567764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450753481973) 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 7 ways as a sum of consecutive naturals, for example, 21526804 + ... + 21547732.

It is an arithmetic number, because the mean of its divisors is an integer number (32897721675).

Almost surely, 2450753481972 is an apocalyptic number.

It is an amenable number.

450753481972 is a deficient number, since it is larger than the sum of its proper divisors (338791838228).

450753481972 is a wasteful number, since it uses less digits than its factorization.

450753481972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25635 (or 25633 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 450753481972 in words is "four hundred fifty billion, seven hundred fifty-three million, four hundred eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 1973 2729 3946 5458 7892 10916 20929 41858 83716 5384317 10768634 21537268 41292917 57115241 82585834 114230482 165171668 228460964 112688370493 225376740986 450753481972