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473718345984 = 283213211032
BaseRepresentation
bin1101110010010111101…
…00000101000100000000
31200021202020122100122100
412321023310011010000
530230133344032414
61001342340110400
746140116334342
oct6711364050400
91607666570570
10473718345984
111729a2724884
1277987395400
1335896230c00
1418cdc973292
15c4c8696609
hex6e4bd05100

473718345984 has 243 divisors, whose sum is σ = 1480335944997. Its totient is φ = 145627342848.

The previous prime is 473718345941. The next prime is 473718346007. The reversal of 473718345984 is 489543817374.

The square root of 473718345984 is 688272.

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

473718345984 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 1 + 8 + 34 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70076678400 + 403641667584 = 264720^2 + 635328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429481177 + ... + 429482279.

Almost surely, 2473718345984 is an apocalyptic number.

473718345984 is the 688272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473718345984

473718345984 is an abundant number, since it is smaller than the sum of its proper divisors (1006617599013).

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

473718345984 is an equidigital number, since it uses as much as digits as its factorization.

473718345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1121 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 473718345984 in words is "four hundred seventy-three billion, seven hundred eighteen million, three hundred forty-five thousand, nine hundred eighty-four".