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63345681 = 32723792
BaseRepresentation
bin1111000110100…
…1010000010001
311102012021221100
43301221100101
5112204030211
610141415013
71366300200
oct361512021
9142167840
1063345681
1132836603
121926a469
131017ba69
1485ad237
155864156
hex3c69411

63345681 has 27 divisors (see below), whose sum is σ = 106719561. Its totient is φ = 36102024.

The previous prime is 63345647. The next prime is 63345701. The reversal of 63345681 is 18654336.

The square root of 63345681 is 7959.

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

63345681 is a `hidden beast` number, since 63 + 34 + 568 + 1 = 666.

It is not a de Polignac number, because 63345681 - 225 = 29791249 is a prime.

It is a super-2 number, since 2×633456812 = 8025350602707522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63345631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166950 + ... + 167328.

Almost surely, 263345681 is an apocalyptic number.

63345681 is the 7959-th square number.

63345681 is the 3980-th centered octagonal number.

It is an amenable number.

63345681 is a deficient number, since it is larger than the sum of its proper divisors (43373880).

63345681 is an equidigital number, since it uses as much as digits as its factorization.

63345681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 63345681 is about 398.6321633053.

Multiplying 63345681 by its sum of digits (36), we get a square (2280444516 = 477542).

It can be divided in two parts, 63 and 345681, that added together give a square (345744 = 5882).

The spelling of 63345681 in words is "sixty-three million, three hundred forty-five thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 379 441 1137 2653 3411 7959 18571 23877 55713 143641 167139 430923 1005487 1292769 3016461 7038409 9049383 21115227 63345681