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2149673850 = 2335259137197
BaseRepresentation
bin1000000000100001…
…0110101101111010
312112210222202011000
42000020112231322
513400304030400
6553150545430
7104161632462
oct20010265572
95483882130
102149673850
11a03486865
124bbb08276
1328349097c
141656daba2
15c8aca600
hex80216b7a

2149673850 has 192 divisors, whose sum is σ = 6098716800. Its totient is φ = 556577280.

The previous prime is 2149673849. The next prime is 2149673857. The reversal of 2149673850 is 583769412.

2149673850 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21496738502 = 9242195322747645000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2149673850 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2149673796 and 2149673805.

It is not an unprimeable number, because it can be changed into a prime (2149673857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10911952 + ... + 10912148.

It is an arithmetic number, because the mean of its divisors is an integer number (31764150).

It is a 1-persistent number, because it is pandigital, but 2⋅2149673850 = 4299347700 is not.

Almost surely, 22149673850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149673850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049358400).

2149673850 is an abundant number, since it is smaller than the sum of its proper divisors (3949042950).

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

2149673850 is a wasteful number, since it uses less digits than its factorization.

2149673850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2149673850 is about 46364.5753781915. The cubic root of 2149673850 is about 1290.5976138545.

The spelling of 2149673850 in words is "two billion, one hundred forty-nine million, six hundred seventy-three thousand, eight hundred fifty".