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2205932140368 = 2434116710932113
BaseRepresentation
bin100000000110011011110…
…011010011011101010000
321210212220012111111020000
4200012123303103131100
5242120222111442433
64405220301250000
7315242024546655
oct40063363233520
97725805444200
102205932140368
11780592203930
122b7636263900
1313003187ca78
1478aa6757c2c
153c5ac133113
hex2019bcd3750

2205932140368 has 400 divisors, whose sum is σ = 7078798136256. Its totient is φ = 657573396480.

The previous prime is 2205932140327. The next prime is 2205932140421. The reversal of 2205932140368 is 8630412395022.

2205932140368 is a `hidden beast` number, since 2 + 2 + 0 + 593 + 21 + 4 + 0 + 36 + 8 = 666.

It is a super-2 number, since 2×22059321403682 (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 1043980080 + ... + 1043982192.

Almost surely, 22205932140368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205932140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539399068128).

2205932140368 is an abundant number, since it is smaller than the sum of its proper divisors (4872865995888).

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

2205932140368 is a wasteful number, since it uses less digits than its factorization.

2205932140368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2205932140368 in words is "two trillion, two hundred five billion, nine hundred thirty-two million, one hundred forty thousand, three hundred sixty-eight".