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2163498052716 = 223372112131913679
BaseRepresentation
bin11111011110111010100…
…010000110110001101100
321122211100220021111012000
4133132322202012301230
5240421321000141331
64333521451412300
7312210333010500
oct37367242066154
97584326244160
102163498052716
11764597280800
122ab373154090
1312902b438170
14769dcbb6300
153b426ae00e6
hex1f7ba886c6c

2163498052716 has 864 divisors, whose sum is σ = 8130713472000. Its totient is φ = 491383791360.

The previous prime is 2163498052673. The next prime is 2163498052733. The reversal of 2163498052716 is 6172508943612.

It is a happy number.

2163498052716 is a `hidden beast` number, since 2 + 1 + 6 + 34 + 9 + 80 + 527 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158155165 + ... + 158168843.

It is an arithmetic number, because the mean of its divisors is an integer number (9410548000).

It is a 1-persistent number, because it is pandigital, but 2⋅2163498052716 = 4326996105432 is not.

Almost surely, 22163498052716 is an apocalyptic number.

2163498052716 is a gapful number since it is divisible by the number (26) 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 2163498052716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065356736000).

2163498052716 is an abundant number, since it is smaller than the sum of its proper divisors (5967215419284).

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

2163498052716 is a wasteful number, since it uses less digits than its factorization.

2163498052716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2163498052716 in words is "two trillion, one hundred sixty-three billion, four hundred ninety-eight million, fifty-two thousand, seven hundred sixteen".