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2042222954112 = 273211374355683
BaseRepresentation
bin11101101101111101111…
…110010100011010000000
321020020100000210011020100
4131231331332110122000
5231424433034012422
64202103445242400
7300355121456445
oct35557576243200
97206300704210
102042222954112
11718113687190
1228b968403400
1311a7720241a3
1470bb63919cc
15381c9c177ac
hex1db7df94680

2042222954112 has 192 divisors, whose sum is σ = 6584226161760. Its totient is φ = 602129479680.

The previous prime is 2042222954021. The next prime is 2042222954137. The reversal of 2042222954112 is 2114592222402.

2042222954112 is a `hidden beast` number, since 2 + 0 + 422 + 229 + 5 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1708978 + ... + 2646705.

Almost surely, 22042222954112 is an apocalyptic number.

2042222954112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2042222954112 is an abundant number, since it is smaller than the sum of its proper divisors (4542003207648).

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

2042222954112 is a wasteful number, since it uses less digits than its factorization.

2042222954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355751 (or 4355736 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2042222954112 in words is "two trillion, forty-two billion, two hundred twenty-two million, nine hundred fifty-four thousand, one hundred twelve".