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1255052051280 = 2432519216093001
BaseRepresentation
bin10010010000110110111…
…011101000001101010000
311102222111201212002002200
4102100312323220031100
5131030321311120110
62400321333043200
7156450234263166
oct22206673501520
94388451762080
101255052051280
114442a0189035
121832a2486500
1391473c0c291
1444a5dbc9236
15229a7d696c0
hex12436ee8350

1255052051280 has 360 divisors, whose sum is σ = 4452642590760. Its totient is φ = 316763136000.

The previous prime is 1255052051263. The next prime is 1255052051287. The reversal of 1255052051280 is 821502505521.

1255052051280 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 0 + 520 + 5 + 128 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 470041875216 + 785010176064 = 685596^2 + 886008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255052051287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418209780 + ... + 418212780.

It is an arithmetic number, because the mean of its divisors is an integer number (12368451641).

Almost surely, 21255052051280 is an apocalyptic number.

1255052051280 is a gapful number since it is divisible by the number (10) 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 1255052051280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226321295380).

1255052051280 is an abundant number, since it is smaller than the sum of its proper divisors (3197590539480).

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

1255052051280 is a wasteful number, since it uses less digits than its factorization.

1255052051280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 1255052051280 in words is "one trillion, two hundred fifty-five billion, fifty-two million, fifty-one thousand, two hundred eighty".