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2064603630240 = 253351963139863
BaseRepresentation
bin11110000010110011111…
…101110100101010100000
321022101002202222022012000
4132002303331310222200
5232311302012131430
64220244341004000
7302106542205204
oct36026375645240
97271082868160
102064603630240
11726658a1a438
122941736b3600
1311c8ca9b0008
1471cda906b04
1538a8998de60
hex1e0b3f74aa0

2064603630240 has 384 divisors, whose sum is σ = 7618680115200. Its totient is φ = 520744412160.

The previous prime is 2064603630161. The next prime is 2064603630263. The reversal of 2064603630240 is 420363064602.

2064603630240 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 603 + 6 + 3 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2064603630195 and 2064603630204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51772549 + ... + 51812411.

It is an arithmetic number, because the mean of its divisors is an integer number (19840312800).

Almost surely, 22064603630240 is an apocalyptic number.

2064603630240 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 2064603630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809340057600).

2064603630240 is an abundant number, since it is smaller than the sum of its proper divisors (5554076484960).

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

2064603630240 is a wasteful number, since it uses less digits than its factorization.

2064603630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40537 (or 40523 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2064603630240 its reverse (420363064602), we get a palindrome (2484966694842).

The spelling of 2064603630240 in words is "two trillion, sixty-four billion, six hundred three million, six hundred thirty thousand, two hundred forty".