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63818885376 = 28321922772
BaseRepresentation
bin111011011011111001…
…101110100100000000
320002201122111021122100
4323123321232210000
52021200113313001
645152404110400
74416330401211
oct733371564400
9202648437570
1063818885376
112507a108184
1210450995400
1360309a758c
143135b3d408
1519d7b4e586
hexedbe6e900

63818885376 has 243 divisors, whose sum is σ = 194903407881. Its totient is φ = 20080576512.

The previous prime is 63818885371. The next prime is 63818885423. The reversal of 63818885376 is 67358881836.

The square root of 63818885376 is 252624.

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

63818885376 is a `hidden beast` number, since 6 + 3 + 8 + 18 + 88 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10999814400 + 52819070976 = 104880^2 + 229824^2 .

It is a super-2 number, since 2×638188853762 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63818885371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230392950 + ... + 230393226.

Almost surely, 263818885376 is an apocalyptic number.

63818885376 is the 252624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63818885376

63818885376 is an abundant number, since it is smaller than the sum of its proper divisors (131084522505).

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

63818885376 is an equidigital number, since it uses as much as digits as its factorization.

63818885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 301 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 63818885376 in words is "sixty-three billion, eight hundred eighteen million, eight hundred eighty-five thousand, three hundred seventy-six".