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2093661024 = 25373136773
BaseRepresentation
bin111110011001010…
…1011101101100000
312101220120222222220
41330302223231200
513241434123044
6543430231040
7102611553000
oct17462535540
95356528886
102093661024
119848a9574
124a51b5480
132749ab7a0
1415c0ba000
15c3c14019
hex7ccabb60

2093661024 has 384 divisors, whose sum is σ = 7101158400. Its totient is φ = 536481792.

The previous prime is 2093661001. The next prime is 2093661041. The reversal of 2093661024 is 4201663902.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 28680252 + ... + 28680324.

It is an arithmetic number, because the mean of its divisors is an integer number (18492600).

Almost surely, 22093661024 is an apocalyptic number.

2093661024 is a gapful number since it is divisible by the number (24) 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 2093661024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550579200).

2093661024 is an abundant number, since it is smaller than the sum of its proper divisors (5007497376).

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

2093661024 is a wasteful number, since it uses less digits than its factorization.

2093661024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2093661024 is about 45756.5407783412. The cubic root of 2093661024 is about 1279.2893646543.

The spelling of 2093661024 in words is "two billion, ninety-three million, six hundred sixty-one thousand, twenty-four".