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168923005200 = 243752316229
BaseRepresentation
bin1001110101010010011…
…0001000000100010000
3121011000112102210000000
42131110212020010100
510231423242131300
6205334022130000
715130032565425
oct2352446100420
9534015383000
10168923005200
11657046a6024
12288a3b80900
1312c10a9c661
148266a05d4c
1545da00ac00
hex2754988110

168923005200 has 480 divisors, whose sum is σ = 628398668800. Its totient is φ = 43586035200.

The previous prime is 168923005151. The next prime is 168923005211. The reversal of 168923005200 is 2500329861.

168923005200 is a `hidden beast` number, since 1 + 68 + 92 + 300 + 5 + 200 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27115686 + ... + 27121914.

Almost surely, 2168923005200 is an apocalyptic number.

168923005200 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 168923005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314199334400).

168923005200 is an abundant number, since it is smaller than the sum of its proper divisors (459475663600).

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

168923005200 is an equidigital number, since it uses as much as digits as its factorization.

168923005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 168923005200 in words is "one hundred sixty-eight billion, nine hundred twenty-three million, five thousand, two hundred".