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163046713920 = 26352941831721
BaseRepresentation
bin1001011111011001010…
…1110110101001000000
3120120212000011020210020
42113312111312221000
510132404424321140
6202522544533440
714531310126036
oct2276625665100
9516760136706
10163046713920
116316968a452
1227724021280
13124b552891c
147c6a3da556
1543941ac6d0
hex25f6576a40

163046713920 has 448 divisors, whose sum is σ = 555517751040. Its totient is φ = 40438988800.

The previous prime is 163046713913. The next prime is 163046713937. The reversal of 163046713920 is 29317640361.

163046713920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1630467139203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 94738660 + ... + 94740380.

It is an arithmetic number, because the mean of its divisors is an integer number (1239994980).

Almost surely, 2163046713920 is an apocalyptic number.

163046713920 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 163046713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277758875520).

163046713920 is an abundant number, since it is smaller than the sum of its proper divisors (392471037120).

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

163046713920 is a wasteful number, since it uses less digits than its factorization.

163046713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 163046713920 in words is "one hundred sixty-three billion, forty-six million, seven hundred thirteen thousand, nine hundred twenty".