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2144525752050 = 23521117550713883
BaseRepresentation
bin11111001101001111101…
…100100001011011110010
321121000101200112202101120
4133031033230201123302
5240113442043031200
64321103113243110
7310636230061533
oct37151754413362
97530350482346
102144525752050
11757540974480
122a7759403496
131272c6948456
1475b1d1ac68a
153abb61c79a0
hex1f34fb216f2

2144525752050 has 192 divisors, whose sum is σ = 6144764281344. Its totient is φ = 489179468800.

The previous prime is 2144525751997. The next prime is 2144525752069. The reversal of 2144525752050 is 502575254412.

It is a super-3 number, since 3×21445257520503 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144525751993 and 2144525752011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154464409 + ... + 154478291.

It is an arithmetic number, because the mean of its divisors is an integer number (32003980632).

Almost surely, 22144525752050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144525752050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072382140672).

2144525752050 is an abundant number, since it is smaller than the sum of its proper divisors (4000238529294).

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

2144525752050 is a wasteful number, since it uses less digits than its factorization.

2144525752050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19433 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 42.

The spelling of 2144525752050 in words is "two trillion, one hundred forty-four billion, five hundred twenty-five million, seven hundred fifty-two thousand, fifty".