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450326892096 = 2632279612
BaseRepresentation
bin1101000110110011001…
…00110000111001000000
31121001101001111101021100
412203121210300321000
524334232141021341
6542513300054400
744351343265644
oct6433144607100
91531331441240
10450326892096
11163a89877304
1273339694400
1333609033333
1417b200a6c24
15baa9d103b6
hex68d9930e40

450326892096 has 63 divisors (see below), whose sum is σ = 1290826892433. Its totient is φ = 150103595520.

The previous prime is 450326891977. The next prime is 450326892097. The reversal of 450326892096 is 690298623054.

It is a happy number.

The square root of 450326892096 is 671064.

It is a perfect power (a square), and thus also a powerful number.

450326892096 is a `hidden beast` number, since 4 + 503 + 26 + 8 + 9 + 20 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105147141696 + 345179750400 = 324264^2 + 587520^2 .

It is not an unprimeable number, because it can be changed into a prime (450326892097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16091556 + ... + 16119516.

Almost surely, 2450326892096 is an apocalyptic number.

450326892096 is the 671064-th square number.

It is an amenable number.

450326892096 is an abundant number, since it is smaller than the sum of its proper divisors (840500000337).

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

450326892096 is an frugal number, since it uses more digits than its factorization.

450326892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55940 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 450326892096 in words is "four hundred fifty billion, three hundred twenty-six million, eight hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 27961 55922 83883 111844 167766 223688 251649 335532 447376 503298 671064 894752 1006596 1342128 1789504 2013192 2684256 4026384 5368512 8052768 16105536 781817521 1563635042 2345452563 3127270084 4690905126 6254540168 7036357689 9381810252 12509080336 14072715378 18763620504 25018160672 28145430756 37527241008 50036321344 56290861512 75054482016 112581723024 150108964032 225163446048 450326892096