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2056332096 = 26357131453
BaseRepresentation
bin111101010010001…
…0010001101000000
312022022100111100000
41322210102031000
513202410111341
6540014200000
7101646351210
oct17244221500
95268314300
102056332096
11965822815
124947b3000
1326a03b970
14157160240
15c07dd8b6
hex7a912340

2056332096 has 336 divisors, whose sum is σ = 7528137344. Its totient is φ = 541956096.

The previous prime is 2056332071. The next prime is 2056332097. The reversal of 2056332096 is 6902336502.

2056332096 is a `hidden beast` number, since 2 + 0 + 563 + 3 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2056332096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056332097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414506 + ... + 1415958.

Almost surely, 22056332096 is an apocalyptic number.

2056332096 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 2056332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764068672).

2056332096 is an abundant number, since it is smaller than the sum of its proper divisors (5471805248).

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

2056332096 is a wasteful number, since it uses less digits than its factorization.

2056332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2056332096 is about 45346.7980788060. The cubic root of 2056332096 is about 1271.6406959531.

Adding to 2056332096 its reverse (6902336502), we get a palindrome (8958668598).

The spelling of 2056332096 in words is "two billion, fifty-six million, three hundred thirty-two thousand, ninety-six".