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63080332227 = 33116114812351
BaseRepresentation
bin111010101111111000…
…010111101111000011
320000211011202220012000
4322233320113233003
52013142031112402
644551222235043
74362121656063
oct725770275703
9200734686160
1063080332227
1124830226280
1210285585a83
135c4398a093
1430a5a0b3a3
151992db3c1c
hexeafe17bc3

63080332227 has 64 divisors (see below), whose sum is σ = 103733360640. Its totient is φ = 37562400000.

The previous prime is 63080332181. The next prime is 63080332241. The reversal of 63080332227 is 72223308036.

It is a happy number.

63080332227 is a `hidden beast` number, since 6 + 308 + 0 + 3 + 322 + 27 = 666.

It is not a de Polignac number, because 63080332227 - 26 = 63080332163 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63080332191 and 63080332200.

It is not an unprimeable number, because it can be changed into a prime (63080332267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26830102 + ... + 26832452.

It is an arithmetic number, because the mean of its divisors is an integer number (1620833760).

Almost surely, 263080332227 is an apocalyptic number.

63080332227 is a deficient number, since it is larger than the sum of its proper divisors (40653028413).

63080332227 is a wasteful number, since it uses less digits than its factorization.

63080332227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 63080332227 in words is "sixty-three billion, eighty million, three hundred thirty-two thousand, two hundred twenty-seven".

Divisors: 1 3 9 11 27 33 61 99 183 297 549 671 1481 1647 2013 2351 4443 6039 7053 13329 16291 18117 21159 25861 39987 48873 63477 77583 90341 143411 146619 232749 271023 430233 439857 698247 813069 993751 1290699 1577521 2439207 2981253 3481831 3872097 4732563 8943759 10445493 14197689 26831277 31336479 38300141 42593067 94009437 114900423 212391691 344701269 637175073 1034103807 1911525219 2336308601 5734575657 7008925803 21026777409 63080332227