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1485730382400 = 263552113741229
BaseRepresentation
bin10101100111101100011…
…011101000001001000000
312021000221002211110100000
4111213230123220021000
5143320233434214100
63054311330200000
7212224532610615
oct25475433501100
95230832743300
101485730382400
115231050824a0
121bbb40123000
13aa146cb69b4
1451ca444c50c
15289a9759900
hex159ec6e8240

1485730382400 has 2016 divisors, whose sum is σ = 6312607217280. Its totient is φ = 340402176000.

The previous prime is 1485730382377. The next prime is 1485730382447. The reversal of 1485730382400 is 42830375841.

1485730382400 is a `hidden beast` number, since 1 + 4 + 8 + 573 + 0 + 38 + 2 + 40 + 0 = 666.

It is a super-3 number, since 3×14857303824003 (a number of 37 digits) contains 333 as substring.

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 287 ways as a sum of consecutive naturals, for example, 6487905486 + ... + 6487905714.

It is an arithmetic number, because the mean of its divisors is an integer number (3131253580).

Almost surely, 21485730382400 is an apocalyptic number.

1485730382400 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 1485730382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156303608640).

1485730382400 is an abundant number, since it is smaller than the sum of its proper divisors (4826876834880).

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

1485730382400 is a wasteful number, since it uses less digits than its factorization.

1485730382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1485730382400 in words is "one trillion, four hundred eighty-five billion, seven hundred thirty million, three hundred eighty-two thousand, four hundred".