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1483348458240 = 2832511611271511
BaseRepresentation
bin10101100101011110011…
…101010011101100000000
312020210210002211011122200
4111211132131103230000
5143300344201130430
63053235121233200
7212111520600405
oct25453635235400
95223702734580
101483348458240
115220a2596630
121bb596492800
13a9b5768970c
1451b19d762ac
15288ba5a4460
hex1595e753b00

1483348458240 has 864 divisors, whose sum is σ = 5739184668672. Its totient is φ = 350687232000.

The previous prime is 1483348458223. The next prime is 1483348458257. The reversal of 1483348458240 is 428548433841.

1483348458240 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 348 + 4 + 58 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1483348458223) and next prime (1483348458257).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 981699085 + ... + 981700595.

It is an arithmetic number, because the mean of its divisors is an integer number (6642574848).

Almost surely, 21483348458240 is an apocalyptic number.

1483348458240 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 1483348458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869592334336).

1483348458240 is an abundant number, since it is smaller than the sum of its proper divisors (4255836210432).

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

1483348458240 is a wasteful number, since it uses less digits than its factorization.

1483348458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 1483348458240 in words is "one trillion, four hundred eighty-three billion, three hundred forty-eight million, four hundred fifty-eight thousand, two hundred forty".