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1663122016350 = 23252611091134919
BaseRepresentation
bin11000001100111001110…
…011000000100001011110
312212222210211111011000200
4120030321303000201132
5204222033214010400
63312005552404330
7231104466614154
oct30147163004136
95788724434020
101663122016350
11591365025653
1222a3a82466a6
13c0aa7419382
145a6d1a693d4
152d3dce7db00
hex18339cc085e

1663122016350 has 288 divisors, whose sum is σ = 4624668734400. Its totient is φ = 428314521600.

The previous prime is 1663122016343. The next prime is 1663122016397. The reversal of 1663122016350 is 536102213661.

1663122016350 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 12 + 2 + 0 + 1 + 635 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 338099191 + ... + 338104109.

It is an arithmetic number, because the mean of its divisors is an integer number (16057877550).

Almost surely, 21663122016350 is an apocalyptic number.

1663122016350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663122016350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312334367200).

1663122016350 is an abundant number, since it is smaller than the sum of its proper divisors (2961546718050).

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

1663122016350 is a wasteful number, since it uses less digits than its factorization.

1663122016350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1663122016350 in words is "one trillion, six hundred sixty-three billion, one hundred twenty-two million, sixteen thousand, three hundred fifty".