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1483530048000 = 293253711133183
BaseRepresentation
bin10101100101101001010…
…010000001001000000000
312020211020202111212222100
4111211221102001020000
5143301232143014000
63053305125310400
7212116154226540
oct25455122011000
95224222455870
101483530048000
11522186044710
121bb627265400
13a9b86199090
1451b36125320
15288cb4c3a00
hex15969481200

1483530048000 has 3840 divisors, whose sum is σ = 7495008288768. Its totient is φ = 272056320000.

The previous prime is 1483530047957. The next prime is 1483530048001. The reversal of 1483530048000 is 8400353841.

1483530048000 is a `hidden beast` number, since 1 + 4 + 83 + 530 + 0 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×14835300480002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1483530048001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17873855959 + ... + 17873856041.

Almost surely, 21483530048000 is an apocalyptic number.

1483530048000 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 1483530048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747504144384).

1483530048000 is an abundant number, since it is smaller than the sum of its proper divisors (6011478240768).

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

1483530048000 is a wasteful number, since it uses less digits than its factorization.

1483530048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1483530048000 in words is "one trillion, four hundred eighty-three billion, five hundred thirty million, forty-eight thousand".