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4906422248640 = 2635113123773179
BaseRepresentation
bin100011101100101110110…
…0011100010010011000000
3122101001100000001211002020
41013121131203202103000
51120341323043424030
614233551304321440
71014322500666453
oct107313543422300
918331300054066
104906422248640
1116218904a3970
12672a92a73280
1329789ac81963
1412d68764b49a
158796222a510
hex4765d8e24c0

4906422248640 has 1344 divisors, whose sum is σ = 18383715002880. Its totient is φ = 1098443980800.

The previous prime is 4906422248617. The next prime is 4906422248647. The reversal of 4906422248640 is 468422246094.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4906422248647) 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 191 ways as a sum of consecutive naturals, for example, 27410180071 + ... + 27410180249.

Almost surely, 24906422248640 is an apocalyptic number.

4906422248640 is a gapful number since it is divisible by the number (40) 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 4906422248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191857501440).

4906422248640 is an abundant number, since it is smaller than the sum of its proper divisors (13477292754240).

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

4906422248640 is a wasteful number, since it uses less digits than its factorization.

4906422248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 4906422248640 in words is "four trillion, nine hundred six billion, four hundred twenty-two million, two hundred forty-eight thousand, six hundred forty".