Search a number
-
+
89476012080 = 243257134792851
BaseRepresentation
bin101001101010100101…
…1111001100000110000
322112221201220100211100
41103111023321200300
52431221324341310
6105034341244400
76315204360660
oct1232513714060
9275851810740
1089476012080
1134a45970224
1215411403700
13858c3bb860
14448b4a01a0
1524da375ec0
hex14d52f9830

89476012080 has 480 divisors, whose sum is σ = 370736271360. Its totient is φ = 18832435200.

The previous prime is 89476012069. The next prime is 89476012081. The reversal of 89476012080 is 8021067498.

89476012080 is a `hidden beast` number, since 89 + 476 + 0 + 1 + 20 + 80 = 666.

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 (89476012081) 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 95 ways as a sum of consecutive naturals, for example, 31382655 + ... + 31385505.

It is an arithmetic number, because the mean of its divisors is an integer number (772367232).

Almost surely, 289476012080 is an apocalyptic number.

89476012080 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 89476012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185368135680).

89476012080 is an abundant number, since it is smaller than the sum of its proper divisors (281260259280).

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

89476012080 is a wasteful number, since it uses less digits than its factorization.

89476012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 89476012080 in words is "eighty-nine billion, four hundred seventy-six million, twelve thousand, eighty".