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2050846434 = 23271321937137
BaseRepresentation
bin111101000111101…
…0110111011100010
312021221000210102100
41322033112323202
513200004041214
6535300431230
7101551623060
oct17217267342
95257023370
102050846434
1196271630a
124929a8516
13268b6ab00
14156533030
15c00a8309
hex7a3d6ee2

2050846434 has 288 divisors, whose sum is σ = 5988228480. Its totient is φ = 494926848.

The previous prime is 2050846433. The next prime is 2050846481. The reversal of 2050846434 is 4346480502.

2050846434 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 8 + 4 + 643 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050846433) 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 143 ways as a sum of consecutive naturals, for example, 14969614 + ... + 14969750.

It is an arithmetic number, because the mean of its divisors is an integer number (20792460).

Almost surely, 22050846434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050846434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994114240).

2050846434 is an abundant number, since it is smaller than the sum of its proper divisors (3937382046).

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

2050846434 is a wasteful number, since it uses less digits than its factorization.

2050846434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2050846434 is about 45286.2720258579. The cubic root of 2050846434 is about 1270.5089067583.

The spelling of 2050846434 in words is "two billion, fifty million, eight hundred forty-six thousand, four hundred thirty-four".