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2828054379150 = 2325271113172316057
BaseRepresentation
bin101001001001110101001…
…011010011101010001110
3101000100200222020201021100
4221021311023103222032
5332313323410113100
610003105032043530
7411214552410660
oct51116513235216
911010628221240
102828054379150
119a0409a738a0
123981198335a6
131768b878b1a0
149ac42abc530
154d86e1c8400
hex292752d3a8e

2828054379150 has 1152 divisors, whose sum is σ = 11271994546176. Its totient is φ = 488307916800.

The previous prime is 2828054379119. The next prime is 2828054379169. The reversal of 2828054379150 is 519734508282.

2828054379150 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 0 + 543 + 7 + 91 + 5 + 0 = 666.

2828054379150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 176117922 + ... + 176133978.

It is an arithmetic number, because the mean of its divisors is an integer number (9784717488).

Almost surely, 22828054379150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828054379150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635997273088).

2828054379150 is an abundant number, since it is smaller than the sum of its proper divisors (8443940167026).

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

2828054379150 is a wasteful number, since it uses less digits than its factorization.

2828054379150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16146 (or 16138 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2828054379150 in words is "two trillion, eight hundred twenty-eight billion, fifty-four million, three hundred seventy-nine thousand, one hundred fifty".