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12585290608 = 2411972632803
BaseRepresentation
bin10111011100010010…
…00100101101110000
31012111002110000010101
423232021010231300
5201233313244413
65440454242144
7623606130232
oct135611045560
935432400111
1012585290608
115379083120
122532956354
1312574b0127
14875656252
154d9d34edd
hex2ee244b70

12585290608 has 80 divisors (see below), whose sum is σ = 26986772736. Its totient is φ = 5638072320.

The previous prime is 12585290563. The next prime is 12585290609. The reversal of 12585290608 is 80609258521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12585290609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4488535 + ... + 4491337.

Almost surely, 212585290608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12585290608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493386368).

12585290608 is an abundant number, since it is smaller than the sum of its proper divisors (14401482128).

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

12585290608 is a wasteful number, since it uses less digits than its factorization.

12585290608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 12585290608 in words is "twelve billion, five hundred eighty-five million, two hundred ninety thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 263 388 526 776 1052 1067 1552 2104 2134 2803 2893 4208 4268 5606 5786 8536 11212 11572 17072 22424 23144 25511 30833 44848 46288 51022 61666 102044 123332 204088 246664 271891 280621 408176 493328 543782 561242 737189 1087564 1122484 1474378 2175128 2244968 2948756 2990801 4350256 4489936 5897512 5981602 8109079 11795024 11963204 16218158 23926408 32436316 47852816 64872632 71507333 129745264 143014666 286029332 572058664 786580663 1144117328 1573161326 3146322652 6292645304 12585290608