Search a number
-
+
163213202263320 = 233451123930896203
BaseRepresentation
bin100101000111000100001000…
…111100011000110100011000
3210101220000210200122110210000
4211013010020330120310120
5132343041114234411240
61335043035433053000
746243523205651516
oct4507041074306430
9711800720573700
10163213202263320
114800636a799a80
121637b98b257160
13700bc28ab2711
142c437bda9d4b6
1513d083b0e2430
hex947108f18d18

163213202263320 has 640 divisors, whose sum is σ = 601243834752000. Its totient is φ = 39382180024320.

The previous prime is 163213202263289. The next prime is 163213202263399. The reversal of 163213202263320 is 23362202312361.

It is a happy number.

163213202263320 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 1 + 320 + 2 + 2 + 6 + 3 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26311975339 + ... + 26311981541.

It is an arithmetic number, because the mean of its divisors is an integer number (939443491800).

Almost surely, 2163213202263320 is an apocalyptic number.

163213202263320 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 163213202263320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300621917376000).

163213202263320 is an abundant number, since it is smaller than the sum of its proper divisors (438030632488680).

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

163213202263320 is a wasteful number, since it uses less digits than its factorization.

163213202263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 163213202263320 its reverse (23362202312361), we get a palindrome (186575404575681).

The spelling of 163213202263320 in words is "one hundred sixty-three trillion, two hundred thirteen billion, two hundred two million, two hundred sixty-three thousand, three hundred twenty".