Search a number
-
+
1531955094336 = 2635236797659
BaseRepresentation
bin10110010010101111101…
…000111010001101000000
312102110020120210010100000
4112102233220322031000
5200044421001004321
63131434230200000
7215452163306622
oct26225750721500
95373216703300
101531955094336
11540775792767
12208aa07b3000
13b1602862354
145420b600c12
1529cb2965826
hex164afa3a340

1531955094336 has 672 divisors, whose sum is σ = 4879724129280. Its totient is φ = 475476148224.

The previous prime is 1531955094331. The next prime is 1531955094391. The reversal of 1531955094336 is 6334905591351.

1531955094336 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 95 + 509 + 43 + 3 + 6 = 666.

It is a super-2 number, since 2×15319550943362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531955094331) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2324665975 + ... + 2324666633.

It is an arithmetic number, because the mean of its divisors is an integer number (7261494240).

Almost surely, 21531955094336 is an apocalyptic number.

1531955094336 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 1531955094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439862064640).

1531955094336 is an abundant number, since it is smaller than the sum of its proper divisors (3347769034944).

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

1531955094336 is an equidigital number, since it uses as much as digits as its factorization.

1531955094336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 1531955094336 in words is "one trillion, five hundred thirty-one billion, nine hundred fifty-five million, ninety-four thousand, three hundred thirty-six".