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1663150398336 = 273272472112971
BaseRepresentation
bin11000001100111011011…
…111010001101110000000
312212222212210220002210100
4120030323133101232000
5204222113000221321
63312012445002400
7231105263063400
oct30147337215600
95788783802710
101663150398336
1159137a050439
1222a3b5853400
13c0ab0275a4b
145a6d5736800
152d3e06d8326
hex1833b7d1b80

1663150398336 has 576 divisors, whose sum is σ = 5714579669760. Its totient is φ = 462715545600.

The previous prime is 1663150398331. The next prime is 1663150398391. The reversal of 1663150398336 is 6338930513661.

1663150398336 is a `hidden beast` number, since 16 + 6 + 3 + 1 + 503 + 98 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663150398331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 559793331 + ... + 559796301.

It is an arithmetic number, because the mean of its divisors is an integer number (9921145260).

Almost surely, 21663150398336 is an apocalyptic number.

1663150398336 is a gapful number since it is divisible by the number (16) 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 1663150398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857289834880).

1663150398336 is an abundant number, since it is smaller than the sum of its proper divisors (4051429271424).

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

1663150398336 is a wasteful number, since it uses less digits than its factorization.

1663150398336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 1663150398336 in words is "one trillion, six hundred sixty-three billion, one hundred fifty million, three hundred ninety-eight thousand, three hundred thirty-six".