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450477222976 = 261122922632
BaseRepresentation
bin1101000111000101000…
…10001110110001000000
31121001202112100222110201
412203202202032301000
524340034132113401
6542540230134544
744355150134254
oct6434242166100
91531675328421
10450477222976
11164056715100
127337bab1454
1333631219a11
1417b3603a264
15bab8107b01
hex68e288ec40

450477222976 has 189 divisors, whose sum is σ = 1021502531413. Its totient is φ = 196949885440.

The previous prime is 450477222973. The next prime is 450477223003. The reversal of 450477222976 is 679222774054.

The square root of 450477222976 is 671176.

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

It can be written as a sum of positive squares in only one way, i.e., 236219328576 + 214257894400 = 486024^2 + 462880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450477222973) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1712841021 + ... + 1712841283.

Almost surely, 2450477222976 is an apocalyptic number.

450477222976 is the 671176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450477222976

450477222976 is an abundant number, since it is smaller than the sum of its proper divisors (571025308437).

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

450477222976 is an equidigital number, since it uses as much as digits as its factorization.

450477222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 450477222976 in words is "four hundred fifty billion, four hundred seventy-seven million, two hundred twenty-two thousand, nine hundred seventy-six".