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495030445056 = 21034723492
BaseRepresentation
bin1110011010000100001…
…11010010010000000000
31202022202112010011110000
413031002013102100000
531102310243220211
61015225220240000
750523213233100
oct7150207222000
91668675104400
10495030445056
11180a398652a4
127bb34840000
13378b16bb914
1419d61209200
15cd246e2656
hex73421d2400

495030445056 has 495 divisors, whose sum is σ = 1724547240009. Its totient is φ = 141032005632.

The previous prime is 495030445037. The next prime is 495030445073. The reversal of 495030445056 is 650544030594.

The square root of 495030445056 is 703584.

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

495030445056 is a `hidden beast` number, since 4 + 9 + 503 + 0 + 44 + 50 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 363348550656 + 131681894400 = 602784^2 + 362880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1418425170 + ... + 1418425518.

Almost surely, 2495030445056 is an apocalyptic number.

495030445056 is the 703584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495030445056

495030445056 is an abundant number, since it is smaller than the sum of its proper divisors (1229516794953).

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

495030445056 is an frugal number, since it uses more digits than its factorization.

495030445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 495030445056 in words is "four hundred ninety-five billion, thirty million, four hundred forty-five thousand, fifty-six".