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2051769888 = 2532741103241
BaseRepresentation
bin111101001001011…
…1000011000100000
312021222202201011100
41322102320120200
513200223114023
6535332314400
7101562520260
oct17222703040
95258681140
102051769888
119631970a3
12493172a00
1326910222c
141566d37a0
15c01dbc43
hex7a4b8620

2051769888 has 288 divisors, whose sum is σ = 6925830912. Its totient is φ = 564019200.

The previous prime is 2051769887. The next prime is 2051769931. The reversal of 2051769888 is 8889671502.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2051769883) 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 47 ways as a sum of consecutive naturals, for example, 8513448 + ... + 8513688.

It is an arithmetic number, because the mean of its divisors is an integer number (24048024).

Almost surely, 22051769888 is an apocalyptic number.

2051769888 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 2051769888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462915456).

2051769888 is an abundant number, since it is smaller than the sum of its proper divisors (4874061024).

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

2051769888 is a wasteful number, since it uses less digits than its factorization.

2051769888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2051769888 is about 45296.4666171656. The cubic root of 2051769888 is about 1270.6995728265.

The spelling of 2051769888 in words is "two billion, fifty-one million, seven hundred sixty-nine thousand, eight hundred eighty-eight".