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6840468026624 = 28137195040717
BaseRepresentation
bin110001110001010101110…
…1010101011010100000000
3220012221102222102001012202
41203202223222223110000
51344033234303322444
622314245001412332
71304131113603131
oct143425352532400
926187388361182
106840468026624
1121a8031963551
1292588aa9a0a8
133a809032a84b
1419911a953c88
15bce09db134e
hex638abaab500

6840468026624 has 36 divisors (see below), whose sum is σ = 13753881351924. Its totient is φ = 3395268784128.

The previous prime is 6840468026599. The next prime is 6840468026627. The reversal of 6840468026624 is 4266208640486.

It can be written as a sum of positive squares in 2 ways, for example, as 2247504692224 + 4592963334400 = 1499168^2 + 2143120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6840468026624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840468026627) 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 3 ways as a sum of consecutive naturals, for example, 97485287 + ... + 97555430.

Almost surely, 26840468026624 is an apocalyptic number.

6840468026624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6840468026624 is an abundant number, since it is smaller than the sum of its proper divisors (6913413325300).

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

6840468026624 is a wasteful number, since it uses less digits than its factorization.

6840468026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195040870 (or 195040856 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 6840468026624 in words is "six trillion, eight hundred forty billion, four hundred sixty-eight million, twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 4384 8768 17536 35072 195040717 390081434 780162868 1560325736 3120651472 6241302944 12482605888 24965211776 26720578229 49930423552 53441156458 106882312916 213764625832 427529251664 855058503328 1710117006656 3420234013312 6840468026624