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2113494691968 = 273311311793383
BaseRepresentation
bin11110110000010110000…
…110011011000010000000
321111001022002010120111000
4132300112012123002000
5234111414120120333
64254532010052000
7305460240316602
oct36602606330200
97431262116430
102113494691968
11745367722780
122a173911a000
131243bca8c83a
1474417c4d172
1539e9bcd4713
hex1ec1619b080

2113494691968 has 256 divisors, whose sum is σ = 7024326451200. Its totient is φ = 619792819200.

The previous prime is 2113494691963. The next prime is 2113494691981. The reversal of 2113494691968 is 8691964943112.

2113494691968 is a `hidden beast` number, since 2 + 1 + 13 + 494 + 69 + 19 + 68 = 666.

It is a super-2 number, since 2×21134946919682 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2113494691963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281805 + ... + 2075187.

It is an arithmetic number, because the mean of its divisors is an integer number (27438775200).

Almost surely, 22113494691968 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 2113494691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512163225600).

2113494691968 is an abundant number, since it is smaller than the sum of its proper divisors (4910831759232).

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

2113494691968 is a wasteful number, since it uses less digits than its factorization.

2113494691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793448 (or 1793430 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 2113494691968 in words is "two trillion, one hundred thirteen billion, four hundred ninety-four million, six hundred ninety-one thousand, nine hundred sixty-eight".