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2129234796 = 2233134147787
BaseRepresentation
bin111111011101001…
…1000101101101100
312111101112100001000
41332322120231230
513330041003141
6551140520300
7103523124423
oct17672305554
95441470030
102129234796
119a2996687
124b50b0090
1327c185760
14162ada2ba
15c6dde5b6
hex7ee98b6c

2129234796 has 192 divisors, whose sum is σ = 6227343360. Its totient is φ = 624775680.

The previous prime is 2129234761. The next prime is 2129234801. The reversal of 2129234796 is 6974329212.

2129234796 is a `hidden beast` number, since 212 + 9 + 2 + 347 + 96 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2705115 + ... + 2705901.

It is an arithmetic number, because the mean of its divisors is an integer number (32434080).

Almost surely, 22129234796 is an apocalyptic number.

2129234796 is a gapful number since it is divisible by the number (26) 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 2129234796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113671680).

2129234796 is an abundant number, since it is smaller than the sum of its proper divisors (4098108564).

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

2129234796 is a wasteful number, since it uses less digits than its factorization.

2129234796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2129234796 is about 46143.6322367453. The cubic root of 2129234796 is about 1286.4942563273.

The spelling of 2129234796 in words is "two billion, one hundred twenty-nine million, two hundred thirty-four thousand, seven hundred ninety-six".