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163312404000 = 25353174717033
BaseRepresentation
bin1001100000011000101…
…1011000011000100000
3120121112112002201001120
42120012023120120200
510133430433412000
6203005155332240
714541014346504
oct2300613303040
9517475081046
10163312404000
116329565a329
1227798bb1080
13125285a2aa5
147c937dc304
1543ac6906a0
hex26062d8620

163312404000 has 384 divisors, whose sum is σ = 578569485312. Its totient is φ = 40113766400.

The previous prime is 163312403971. The next prime is 163312404019. The reversal of 163312404000 is 404213361.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 9579484 + ... + 9596516.

It is an arithmetic number, because the mean of its divisors is an integer number (1506691368).

Almost surely, 2163312404000 is an apocalyptic number.

163312404000 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 163312404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289284742656).

163312404000 is an abundant number, since it is smaller than the sum of its proper divisors (415257081312).

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

163312404000 is a wasteful number, since it uses less digits than its factorization.

163312404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17125 (or 17107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 163312404000 its reverse (404213361), we get a palindrome (163716617361).

The spelling of 163312404000 in words is "one hundred sixty-three billion, three hundred twelve million, four hundred four thousand".