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200498073984 = 27341321753127
BaseRepresentation
bin1011101010111010011…
…1011101000110000000
3201011112001111110120000
42322232213131012000
511241110001331414
6232035121320000
720325346336515
oct2725647350600
9634461443500
10200498073984
1178037a3259a
1232a36496000
1315ba357b700
1499c02d530c
15533705bb09
hex2eae9dd180

200498073984 has 960 divisors, whose sum is σ = 702510589440. Its totient is φ = 56518705152.

The previous prime is 200498073977. The next prime is 200498074003. The reversal of 200498073984 is 489370894002.

200498073984 is a `hidden beast` number, since 2 + 0 + 0 + 498 + 0 + 73 + 9 + 84 = 666.

200498073984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 200498073984.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1578724929 + ... + 1578725055.

It is an arithmetic number, because the mean of its divisors is an integer number (731781864).

Almost surely, 2200498073984 is an apocalyptic number.

200498073984 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 200498073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351255294720).

200498073984 is an abundant number, since it is smaller than the sum of its proper divisors (502012515456).

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

200498073984 is a wasteful number, since it uses less digits than its factorization.

200498073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 200498073984 in words is "two hundred billion, four hundred ninety-eight million, seventy-three thousand, nine hundred eighty-four".