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663505479 = 337131961233
BaseRepresentation
bin100111100011000…
…100101001000111
31201020111120102000
4213203010221013
52324324133404
6145501120343
722304463210
oct4743045107
91636446360
10663505479
1131059353a
121662590b3
13a76022c0
1464198407
153d3b4339
hex278c4a47

663505479 has 128 divisors (see below), whose sum is σ = 1299916800. Its totient is φ = 324725760.

The previous prime is 663505477. The next prime is 663505487. The reversal of 663505479 is 974505366.

663505479 is a `hidden beast` number, since 6 + 635 + 0 + 5 + 4 + 7 + 9 = 666.

It is not a de Polignac number, because 663505479 - 21 = 663505477 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663505477) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2847547 + ... + 2847779.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2663505479 is an apocalyptic number.

663505479 is a deficient number, since it is larger than the sum of its proper divisors (636411321).

663505479 is a wasteful number, since it uses less digits than its factorization.

663505479 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 663505479 is about 25758.6000978314. The cubic root of 663505479 is about 872.1975006274.

The spelling of 663505479 in words is "six hundred sixty-three million, five hundred five thousand, four hundred seventy-nine".

Divisors: 1 3 7 9 13 19 21 27 39 57 61 63 91 117 133 171 183 189 233 247 273 351 399 427 513 549 699 741 793 819 1159 1197 1281 1631 1647 1729 2097 2223 2379 2457 3029 3477 3591 3843 4427 4893 5187 5551 6291 6669 7137 8113 9087 10431 11529 13281 14213 14679 15067 15561 16653 21203 21411 24339 27261 30989 31293 39843 42639 44037 45201 46683 49959 57551 63609 73017 81783 92967 99491 105469 119529 127917 135603 149877 172653 184769 190827 219051 270047 278901 298473 316407 383751 402857 406809 517959 554307 572481 810141 836703 895419 949221 1208571 1293383 1553877 1662921 1890329 2430423 2686257 2847663 3510611 3625713 3880149 4988763 5670987 7291269 10531833 10877139 11640447 17012961 24574277 31595499 34921341 51038883 73722831 94786497 221168493 663505479