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2659438050048 = 283213531675283
BaseRepresentation
bin100110101100110010110…
…111000011101100000000
3100102020110210212200210100
4212230302313003230000
5322033012120100143
65353421243002400
7363065232305523
oct46546267035400
910366423780710
102659438050048
119359524a209a
1236b500509400
13163a263b62a0
1492a08b06bba
15492a10996d3
hex26b32dc3b00

2659438050048 has 216 divisors, whose sum is σ = 8413457178672. Its totient is φ = 802848743424.

The previous prime is 2659438050041. The next prime is 2659438050097. The reversal of 2659438050048 is 8400508349562.

2659438050048 is a `hidden beast` number, since 2 + 6 + 5 + 94 + 3 + 8 + 0 + 500 + 48 = 666.

It is a super-2 number, since 2×26594380500482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2659438049976 and 2659438050003.

It is not an unprimeable number, because it can be changed into a prime (2659438050041) 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 23 ways as a sum of consecutive naturals, for example, 749815 + ... + 2425097.

It is an arithmetic number, because the mean of its divisors is an integer number (38951190642).

Almost surely, 22659438050048 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 2659438050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206728589336).

2659438050048 is an abundant number, since it is smaller than the sum of its proper divisors (5754019128624).

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

2659438050048 is a wasteful number, since it uses less digits than its factorization.

2659438050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675371 (or 1675354 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2659438050048 in words is "two trillion, six hundred fifty-nine billion, four hundred thirty-eight million, fifty thousand, forty-eight".