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1530315330336 = 25361331162779
BaseRepresentation
bin10110010001001101111…
…001101101001100100000
312102022000022021111000000
4112101031321231030200
5200033041211032321
63131003412300000
7215363432453562
oct26211571551440
95368008244000
101530315330336
11540004121801
12208703611600
13b1400c162b0
14540d3919332
1529c18a0e826
hex1644de6d320

1530315330336 has 336 divisors, whose sum is σ = 5021572872960. Its totient is φ = 455674222080.

The previous prime is 1530315330317. The next prime is 1530315330353. The reversal of 1530315330336 is 6330335130351.

1530315330336 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 315 + 3 + 3 + 0 + 336 = 666.

It is a super-2 number, since 2×15303153303362 (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 a self number, because there is not a number n which added to its sum of digits gives 1530315330336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9319795 + ... + 9482573.

It is an arithmetic number, because the mean of its divisors is an integer number (14945157360).

Almost surely, 21530315330336 is an apocalyptic number.

1530315330336 is a gapful number since it is divisible by the number (16) 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 1530315330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510786436480).

1530315330336 is an abundant number, since it is smaller than the sum of its proper divisors (3491257542624).

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

1530315330336 is a wasteful number, since it uses less digits than its factorization.

1530315330336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162851 (or 162828 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 36.

The spelling of 1530315330336 in words is "one trillion, five hundred thirty billion, three hundred fifteen million, three hundred thirty thousand, three hundred thirty-six".