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2644224420640 = 255112697437517
BaseRepresentation
bin100110011110101000000…
…011101010101100100000
3100100210012112202020122111
4212132220003222230200
5321310332422430030
65342423454045104
7362016226505035
oct46365003525440
910323175666574
102644224420640
1192a455829150
123685754a9794
131624705203ca
1491da439338c
1548bb063762a
hex267a80eab20

2644224420640 has 192 divisors, whose sum is σ = 6850339050240. Its totient is φ = 956545085440.

The previous prime is 2644224420613. The next prime is 2644224420659. The reversal of 2644224420640 is 460244224462.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2644224420593 and 2644224420602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351762162 + ... + 351769678.

It is an arithmetic number, because the mean of its divisors is an integer number (35678849220).

Almost surely, 22644224420640 is an apocalyptic number.

2644224420640 is a gapful number since it is divisible by the number (20) 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 2644224420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425169525120).

2644224420640 is an abundant number, since it is smaller than the sum of its proper divisors (4206114629600).

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

2644224420640 is a wasteful number, since it uses less digits than its factorization.

2644224420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 2644224420640 in words is "two trillion, six hundred forty-four billion, two hundred twenty-four million, four hundred twenty thousand, six hundred forty".