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200094318144 = 2635731211281
BaseRepresentation
bin1011101001011010001…
…1001111111001000000
3201010110220202112200000
42322112203033321000
511234243121140034
6231531055400000
720312344433010
oct2722643177100
9633426675600
10200094318144
1177950031886
1232943223000
1315b3aa23726
149982833c40
1553118a5599
hex2e968cfe40

200094318144 has 672 divisors, whose sum is σ = 707505856512. Its totient is φ = 54867456000.

The previous prime is 200094318097. The next prime is 200094318217. The reversal of 200094318144 is 441813490002.

It is a happy number.

200094318144 is a `hidden beast` number, since 200 + 0 + 9 + 431 + 8 + 14 + 4 = 666.

200094318144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 200094318099 and 200094318108.

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 95 ways as a sum of consecutive naturals, for example, 712079284 + ... + 712079564.

It is an arithmetic number, because the mean of its divisors is an integer number (1052836096).

Almost surely, 2200094318144 is an apocalyptic number.

200094318144 is a gapful number since it is divisible by the number (24) 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 200094318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353752928256).

200094318144 is an abundant number, since it is smaller than the sum of its proper divisors (507411538368).

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

200094318144 is a wasteful number, since it uses less digits than its factorization.

200094318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 200094318144 in words is "two hundred billion, ninety-four million, three hundred eighteen thousand, one hundred forty-four".