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1132485209280 = 26355232113001
BaseRepresentation
bin10000011110101101011…
…000001110110011000000
311000021010211201101100000
4100132231120032303000
5122023312203144110
62224131224200000
7144551016310335
oct20365530166300
94007124641300
101132485209280
113a7314416597
12163597009000
1382a3ccc14b9
143cb539d298c
151e6d28831c0
hex107ad60ecc0

1132485209280 has 672 divisors, whose sum is σ = 4236567648768. Its totient is φ = 287400960000.

The previous prime is 1132485209279. The next prime is 1132485209363. The reversal of 1132485209280 is 829025842311.

1132485209280 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 48 + 520 + 9 + 2 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 377367780 + ... + 377370780.

It is an arithmetic number, because the mean of its divisors is an integer number (6304416144).

Almost surely, 21132485209280 is an apocalyptic number.

1132485209280 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 1132485209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118283824384).

1132485209280 is an abundant number, since it is smaller than the sum of its proper divisors (3104082439488).

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

1132485209280 is a wasteful number, since it uses less digits than its factorization.

1132485209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1132485209280 in words is "one trillion, one hundred thirty-two billion, four hundred eighty-five million, two hundred nine thousand, two hundred eighty".