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1282020236532 = 2232723267143537
BaseRepresentation
bin10010101001111110010…
…111000101110011110100
311112120010012020211111200
4102221332113011303310
5132001034140032112
62420541342532500
7161423441132040
oct22517627056364
94476105224450
101282020236532
1145477a001842
12188569b97130
1393b81130b49
144609b709020
1523535717cdc
hex12a7e5c5cf4

1282020236532 has 216 divisors, whose sum is σ = 3929454949056. Its totient is φ = 345134034432.

The previous prime is 1282020236503. The next prime is 1282020236533. The reversal of 1282020236532 is 2356320202821.

1282020236532 is a `hidden beast` number, since 1 + 2 + 82 + 0 + 20 + 23 + 6 + 532 = 666.

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 (1282020236533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8859868 + ... + 9003404.

Almost surely, 21282020236532 is an apocalyptic number.

1282020236532 is a gapful number since it is divisible by the number (12) 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 1282020236532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964727474528).

1282020236532 is an abundant number, since it is smaller than the sum of its proper divisors (2647434712524).

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

1282020236532 is a wasteful number, since it uses less digits than its factorization.

1282020236532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143667 (or 143639 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1282020236532 in words is "one trillion, two hundred eighty-two billion, twenty million, two hundred thirty-six thousand, five hundred thirty-two".