Search a number
-
+
164470551300 = 2233521110154829
BaseRepresentation
bin1001100100101100110…
…1010111001100000100
3120201112020100200111000
42121023031113030010
510143313430120200
6203320130413300
714611506422316
oct2311315271404
9521466320430
10164470551300
116382a37a560
1227a60a31230
1312681502353
147d635557b6
1544291b0300
hex264b357304

164470551300 has 288 divisors, whose sum is σ = 582531465600. Its totient is φ = 39476160000.

The previous prime is 164470551277. The next prime is 164470551419. The reversal of 164470551300 is 3155074461.

164470551300 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 70 + 551 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 2972286 + ... + 3027114.

It is an arithmetic number, because the mean of its divisors is an integer number (2022678700).

Almost surely, 2164470551300 is an apocalyptic number.

164470551300 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 164470551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291265732800).

164470551300 is an abundant number, since it is smaller than the sum of its proper divisors (418060914300).

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

164470551300 is a wasteful number, since it uses less digits than its factorization.

164470551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54964 (or 54951 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 164470551300 in words is "one hundred sixty-four billion, four hundred seventy million, five hundred fifty-one thousand, three hundred".