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2196313919968 = 2571931123113523
BaseRepresentation
bin11111111101011110100…
…000101101000111100000
321202222001220010021020211
4133331132200231013200
5241441022330414333
64400550033343504
7314451464202040
oct37753640550740
97688056107224
102196313919968
117774a6a4a553
122b57b1107b94
1312c15acc47ac
14784331b5720
153c1e7a39ecd
hex1ff5e82d1e0

2196313919968 has 192 divisors, whose sum is σ = 5374355374080. Its totient is φ = 862205990400.

The previous prime is 2196313919957. The next prime is 2196313919977. The reversal of 2196313919968 is 8699193136912.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 162406455 + ... + 162419977.

It is an arithmetic number, because the mean of its divisors is an integer number (27991434240).

Almost surely, 22196313919968 is an apocalyptic number.

2196313919968 is a gapful number since it is divisible by the number (28) 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 2196313919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687177687040).

2196313919968 is an abundant number, since it is smaller than the sum of its proper divisors (3178041454112).

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

2196313919968 is a wasteful number, since it uses less digits than its factorization.

2196313919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821 (or 14813 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 67.

The spelling of 2196313919968 in words is "two trillion, one hundred ninety-six billion, three hundred thirteen million, nine hundred nineteen thousand, nine hundred sixty-eight".