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2055126528 = 2932713329
BaseRepresentation
bin111101001111110…
…1011111000000000
312022020002020121100
41322133223320000
513202103022103
6535532254400
7101633200350
oct17237537000
95266066540
102055126528
11965079a84
12494311400
13269a09000
14156d28b60
15c06515a3
hex7a7ebe00

2055126528 has 480 divisors, whose sum is σ = 7596388800. Its totient is φ = 523321344.

The previous prime is 2055126523. The next prime is 2055126529. The reversal of 2055126528 is 8256215502.

It is a happy number.

2055126528 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 126 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2055126492 and 2055126501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055126523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70866418 + ... + 70866446.

It is an arithmetic number, because the mean of its divisors is an integer number (15825810).

Almost surely, 22055126528 is an apocalyptic number.

2055126528 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 2055126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798194400).

2055126528 is an abundant number, since it is smaller than the sum of its proper divisors (5541262272).

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

2055126528 is an equidigital number, since it uses as much as digits as its factorization.

2055126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2055126528 is about 45333.5033722301. The cubic root of 2055126528 is about 1271.3921386594.

The spelling of 2055126528 in words is "two billion, fifty-five million, one hundred twenty-six thousand, five hundred twenty-eight".