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316649296656 = 243474112292
BaseRepresentation
bin1001001101110011100…
…01001101001100010000
31010021022211111221010000
410212321301031030100
520141444204443111
6401244445210000
731606602420000
oct4467161151420
91107284457100
10316649296656
11112321300300
1251451260900
1323b24280934
141147c410000
1583841adc56
hex49b9c4d310

316649296656 has 1125 divisors, whose sum is σ = 1217110387493. Its totient is φ = 79410481920.

The previous prime is 316649296603. The next prime is 316649296741. The reversal of 316649296656 is 656692946613.

It is a happy number.

The square root of 316649296656 is 562716.

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

316649296656 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 492 + 96 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166043210256 + 150606086400 = 407484^2 + 388080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (75582720) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 316649296593 and 316649296602.

It is an unprimeable number.

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 224 ways as a sum of consecutive naturals, for example, 10918941250 + ... + 10918941278.

Almost surely, 2316649296656 is an apocalyptic number.

316649296656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

316649296656 is the 562716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316649296656

316649296656 is an abundant number, since it is smaller than the sum of its proper divisors (900461090837).

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

316649296656 is an equidigital number, since it uses as much as digits as its factorization.

316649296656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 52 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 316649296656 in words is "three hundred sixteen billion, six hundred forty-nine million, two hundred ninety-six thousand, six hundred fifty-six".