Search a number
-
+
89424143155200 = 215352731732297
BaseRepresentation
bin10100010101010010101110…
…010010011000000000000000
3102201121212100021211120200110
4110111102232102120000000
543210111121121431300
6514104514554551320
724556452426201330
oct2425225622300000
9381555307746613
1089424143155200
112654762558a497
12a042bb8738540
133ab88781cca99
14181221a0a10c0
15a511d937b550
hex5154ae498000

89424143155200 has 1536 divisors, whose sum is σ = 353766494638080. Its totient is φ = 19500997017600.

The previous prime is 89424143155199. The next prime is 89424143155219. The reversal of 89424143155200 is 255134142498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×894241431552002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89424143155200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38930840452 + ... + 38930842748.

It is an arithmetic number, because the mean of its divisors is an integer number (230316728280).

Almost surely, 289424143155200 is an apocalyptic number.

89424143155200 is a gapful number since it is divisible by the number (80) 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 89424143155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176883247319040).

89424143155200 is an abundant number, since it is smaller than the sum of its proper divisors (264342351482880).

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

89424143155200 is a wasteful number, since it uses less digits than its factorization.

89424143155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

Adding to 89424143155200 its reverse (255134142498), we get a palindrome (89679277297698).

The spelling of 89424143155200 in words is "eighty-nine trillion, four hundred twenty-four billion, one hundred forty-three million, one hundred fifty-five thousand, two hundred".