Search a number
-
+
109189421483520 = 2935725321412557
BaseRepresentation
bin11000110100111010100100…
…101011100100011000000000
3112022121101222112001201120210
4120310322210223210120000
5103302424413344433040
61024120532221034120
731666450440021600
oct3064724453443000
9468541875051523
10109189421483520
1131877a789574a4
12102b57843b5940
1348c06978214a1
141cd6b20aa2c00
15c9540288a480
hex634ea4ae4600

109189421483520 has 960 divisors, whose sum is σ = 414071650593216. Its totient is φ = 24465675386880.

The previous prime is 109189421483507. The next prime is 109189421483531. The reversal of 109189421483520 is 25384124981901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 42702158082 + ... + 42702160638.

Almost surely, 2109189421483520 is an apocalyptic number.

109189421483520 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 109189421483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207035825296608).

109189421483520 is an abundant number, since it is smaller than the sum of its proper divisors (304882229109696).

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

109189421483520 is a wasteful number, since it uses less digits than its factorization.

109189421483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 109189421483520 in words is "one hundred nine trillion, one hundred eighty-nine billion, four hundred twenty-one million, four hundred eighty-three thousand, five hundred twenty".