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2246542212096 = 2103271321722331
BaseRepresentation
bin100000101100010000010…
…110011011110000000000
321221202201101111212210200
4200230100112123300000
5243301404301241341
64440014112125200
7321210260505360
oct40542026336000
97852641455720
102246542212096
11796831569886
1230348a536800
13133b04146300
147aa39d709a0
153d687476db6
hex20b1059bc00

2246542212096 has 2376 divisors, whose sum is σ = 9185480239104. Its totient is φ = 516190371840.

The previous prime is 2246542212053. The next prime is 2246542212121. The reversal of 2246542212096 is 6902122456422.

2246542212096 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 542 + 2 + 12 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72469103601 + ... + 72469103631.

Almost surely, 22246542212096 is an apocalyptic number.

2246542212096 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 2246542212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592740119552).

2246542212096 is an abundant number, since it is smaller than the sum of its proper divisors (6938938027008).

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

2246542212096 is a wasteful number, since it uses less digits than its factorization.

2246542212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2246542212096 in words is "two trillion, two hundred forty-six billion, five hundred forty-two million, two hundred twelve thousand, ninety-six".