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682005246464 = 294132488817
BaseRepresentation
bin10011110110010101010…
…11100011001000000000
32102012101010012012111202
421323022223203020000
542133221320341324
61241150415200332
7100162503642143
oct11731253431000
92365333165452
10682005246464
112432671aaa63
12b02162160a8
134c40b355699
142501b48205a
1512b193d88ae
hex9ecaae3200

682005246464 has 40 divisors (see below), whose sum is σ = 1395914554188. Its totient is φ = 332685475840.

The previous prime is 682005246451. The next prime is 682005246469. The reversal of 682005246464 is 464642500286.

It can be written as a sum of positive squares in 2 ways, for example, as 556802500864 + 125202745600 = 746192^2 + 353840^2 .

It is not an unprimeable number, because it can be changed into a prime (682005246469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16223417 + ... + 16265400.

Almost surely, 2682005246464 is an apocalyptic number.

682005246464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

682005246464 is an abundant number, since it is smaller than the sum of its proper divisors (713909307724).

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

682005246464 is an equidigital number, since it uses as much as digits as its factorization.

682005246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32488876 (or 32488860 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 682005246464 in words is "six hundred eighty-two billion, five million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 10496 20992 32488817 64977634 129955268 259910536 519821072 1039642144 1332041497 2079284288 2664082994 4158568576 5328165988 8317137152 10656331976 16634274304 21312663952 42625327904 85250655808 170501311616 341002623232 682005246464