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1082747334240 = 25345111333457
BaseRepresentation
bin11111100000110001100…
…01010010111001100000
310211111202112010112120000
433300120301102321200
5120214431304143430
62145223545020000
7141140326326315
oct17603061227140
93744675115500
101082747334240
11388210708940
12155a15a84600
137b14464b000
143a596016d0c
151d271019e60
hexfc18c52e60

1082747334240 has 960 divisors, whose sum is σ = 4517106834240. Its totient is φ = 242223022080.

The previous prime is 1082747334233. The next prime is 1082747334269. The reversal of 1082747334240 is 424337472801.

1082747334240 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 74 + 7 + 334 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 313202592 + ... + 313206048.

It is an arithmetic number, because the mean of its divisors is an integer number (4705319619).

Almost surely, 21082747334240 is an apocalyptic number.

1082747334240 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 1082747334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258553417120).

1082747334240 is an abundant number, since it is smaller than the sum of its proper divisors (3434359500000).

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

1082747334240 is a wasteful number, since it uses less digits than its factorization.

1082747334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 1082747334240 in words is "one trillion, eighty-two billion, seven hundred forty-seven million, three hundred thirty-four thousand, two hundred forty".