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6494228252640 = 2534541611911049
BaseRepresentation
bin101111010000000111000…
…1010110000011111100000
3211222211201221012010020000
41132200032022300133200
51322400134413041030
621451223545420000
71240123013230002
oct136401612603740
924884657163200
106494228252640
1120842065a9707
1288a75ba9a600
133815317ab93b
1418647265c372
15b3de301d860
hex5e80e2b07e0

6494228252640 has 960 divisors, whose sum is σ = 24010913203200. Its totient is φ = 1651580928000.

The previous prime is 6494228252539. The next prime is 6494228252647. The reversal of 6494228252640 is 462528224946.

6494228252640 is a `hidden beast` number, since 6 + 4 + 94 + 2 + 28 + 2 + 526 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6494228252647) 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 159 ways as a sum of consecutive naturals, for example, 6190874836 + ... + 6190875884.

It is an arithmetic number, because the mean of its divisors is an integer number (25011367920).

Almost surely, 26494228252640 is an apocalyptic number.

6494228252640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494228252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005456601600).

6494228252640 is an abundant number, since it is smaller than the sum of its proper divisors (17516684950560).

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

6494228252640 is a wasteful number, since it uses less digits than its factorization.

6494228252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6494228252640 in words is "six trillion, four hundred ninety-four billion, two hundred twenty-eight million, two hundred fifty-two thousand, six hundred forty".