Search a number
-
+
94472608896 = 27321725119219
BaseRepresentation
bin101011111111100000…
…0011001110010000000
3100000211221212210002200
41113333000121302000
53021434441441041
6111222231513200
76553055632431
oct1277700316200
9300757783080
1094472608896
113707a363386
1216386828800
138ba7628413
144802d17488
1526cdd591b6
hex15ff019c80

94472608896 has 192 divisors, whose sum is σ = 289008064800. Its totient is φ = 29518848000.

The previous prime is 94472608891. The next prime is 94472608897. The reversal of 94472608896 is 69880627449.

94472608896 is a `hidden beast` number, since 9 + 447 + 26 + 0 + 88 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (94472608891) 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 23 ways as a sum of consecutive naturals, for example, 4905975 + ... + 4925193.

Almost surely, 294472608896 is an apocalyptic number.

94472608896 is a gapful number since it is divisible by the number (96) 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 94472608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144504032400).

94472608896 is an abundant number, since it is smaller than the sum of its proper divisors (194535455904).

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

94472608896 is a wasteful number, since it uses less digits than its factorization.

94472608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19507 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 94472608896 in words is "ninety-four billion, four hundred seventy-two million, six hundred eight thousand, eight hundred ninety-six".