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2030606934048 = 25357112308309
BaseRepresentation
bin11101100011001001100…
…110101110000000100000
321012010100111012012100000
4131203021212232000200
5231232140333342143
64152503053500000
7266464222102650
oct35431146560040
97163314165300
102030606934048
117131a2749400
122896661a1600
131196405b2234
14703d3768360
1537c4a043bd3
hex1d8c99ae020

2030606934048 has 432 divisors, whose sum is σ = 7522655474880. Its totient is φ = 527428661760.

The previous prime is 2030606933987. The next prime is 2030606934067. The reversal of 2030606934048 is 8404396060302.

2030606934048 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 606 + 9 + 34 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 2030606933994 and 2030606934012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6432118 + ... + 6740426.

It is an arithmetic number, because the mean of its divisors is an integer number (17413554340).

Almost surely, 22030606934048 is an apocalyptic number.

2030606934048 is a gapful number since it is divisible by the number (28) 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 2030606934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761327737440).

2030606934048 is an abundant number, since it is smaller than the sum of its proper divisors (5492048540832).

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

2030606934048 is a wasteful number, since it uses less digits than its factorization.

2030606934048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308363 (or 308332 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2030606934048 in words is "two trillion, thirty billion, six hundred six million, nine hundred thirty-four thousand, forty-eight".