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163348921344 = 21037237139211
BaseRepresentation
bin1001100000100001011…
…0101011110000000000
3120121122001210222102210
42120020112223300000
510134014310440334
6203012542142120
714541636631200
oct2301026536000
9517561728383
10163348921344
1163304231354
12277a9281940
131253301a39b
147c985c6400
1543b09a55e9
hex26085abc00

163348921344 has 528 divisors, whose sum is σ = 526380973440. Its totient is φ = 44869386240.

The previous prime is 163348921321. The next prime is 163348921397. The reversal of 163348921344 is 443129843361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 163348921293 and 163348921302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774165399 + ... + 774165609.

Almost surely, 2163348921344 is an apocalyptic number.

163348921344 is a gapful number since it is divisible by the number (14) 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 163348921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263190486720).

163348921344 is an abundant number, since it is smaller than the sum of its proper divisors (363032052096).

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

163348921344 is a wasteful number, since it uses less digits than its factorization.

163348921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 163348921344 in words is "one hundred sixty-three billion, three hundred forty-eight million, nine hundred twenty-one thousand, three hundred forty-four".