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2053056096 = 2532721319231
BaseRepresentation
bin111101001011111…
…0010011001100000
312022002012001111200
41322113302121200
513201040243341
6535420041200
7101606455200
oct17227623140
95262161450
102053056096
11963995483
12493693200
132694627c0
1415694a400
15c0392db6
hex7a5f2660

2053056096 has 648 divisors, whose sum is σ = 7968227904. Its totient is φ = 496419840.

The previous prime is 2053056091. The next prime is 2053056097. The reversal of 2053056096 is 6906503502.

2053056096 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 560 + 96 = 666.

It is a super-2 number, since 2×20530560962 = 8430078666645522432, which contains 22 as substring.

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 2053056096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053056091) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 66227601 + ... + 66227631.

It is an arithmetic number, because the mean of its divisors is an integer number (12296648).

Almost surely, 22053056096 is an apocalyptic number.

2053056096 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 2053056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2053056096 is an abundant number, since it is smaller than the sum of its proper divisors (5915171808).

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

2053056096 is a wasteful number, since it uses less digits than its factorization.

2053056096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2053056096 is about 45310.6620565182. The cubic root of 2053056096 is about 1270.9650416079.

Adding to 2053056096 its reverse (6906503502), we get a palindrome (8959559598).

The spelling of 2053056096 in words is "two billion, fifty-three million, fifty-six thousand, ninety-six".