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1082521422240 = 253517174775937
BaseRepresentation
bin11111100000010110100…
…11100000100110100000
310211111011210001000112220
433300023103200212200
5120214000441002430
62145145314551040
7141131614160616
oct17601323404640
93744153030486
101082521422240
11388105137905
12155972298480
137b1098c067b
143a57400b6b6
151d25b293110
hexfc0b4e09a0

1082521422240 has 192 divisors, whose sum is σ = 3612641606784. Its totient is φ = 271532556288.

The previous prime is 1082521422233. The next prime is 1082521422247. The reversal of 1082521422240 is 422241252801.

It is an interprime number because it is at equal distance from previous prime (1082521422233) and next prime (1082521422247).

It is not an unprimeable number, because it can be changed into a prime (1082521422247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14217552 + ... + 14293488.

It is an arithmetic number, because the mean of its divisors is an integer number (18815841702).

Almost surely, 21082521422240 is an apocalyptic number.

1082521422240 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 1082521422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806320803392).

1082521422240 is an abundant number, since it is smaller than the sum of its proper divisors (2530120184544).

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

1082521422240 is a wasteful number, since it uses less digits than its factorization.

1082521422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77719 (or 77711 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 1082521422240 in words is "one trillion, eighty-two billion, five hundred twenty-one million, four hundred twenty-two thousand, two hundred forty".