Search a number
-
+
93372238080 = 28345111931139
BaseRepresentation
bin101011011110101101…
…0110100100100000000
322221000021100011010000
41112331122310210000
53012211243104310
6110521123040000
76513564633312
oct1267532644400
9287007304100
1093372238080
1136665215510
121611a210000
138a60677a24
14473ab1d7b2
15266744d4c0
hex15bd6b4900

93372238080 has 1440 divisors, whose sum is σ = 398884147200. Its totient is φ = 20603289600.

The previous prime is 93372238079. The next prime is 93372238087. The reversal of 93372238080 is 8083227339.

It is a happy number.

93372238080 is a `hidden beast` number, since 9 + 337 + 2 + 238 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (93372238087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 671742651 + ... + 671742789.

It is an arithmetic number, because the mean of its divisors is an integer number (277002880).

Almost surely, 293372238080 is an apocalyptic number.

93372238080 is a gapful number since it is divisible by the number (90) 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 93372238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199442073600).

93372238080 is an abundant number, since it is smaller than the sum of its proper divisors (305511909120).

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

93372238080 is a wasteful number, since it uses less digits than its factorization.

93372238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Subtracting from 93372238080 its product of nonzero digits (435456), we obtain a square (93371802624 = 3055682).

The spelling of 93372238080 in words is "ninety-three billion, three hundred seventy-two million, two hundred thirty-eight thousand, eighty".