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2194122456801 = 321181127499941
BaseRepresentation
bin11111111011011011111…
…000111011111011100001
321202202102011111101221100
4133323123320323323201
5241422030322104201
64355544350545013
7314343254106432
oct37733370737341
97682364441840
102194122456801
11776581a20870
122b529b208169
1312bb9bc91a22
14782a611b489
153c11a457886
hex1fedbe3bee1

2194122456801 has 48 divisors (see below), whose sum is σ = 3463275816000. Its totient is φ = 1327514832000.

The previous prime is 2194122456797. The next prime is 2194122456859. The reversal of 2194122456801 is 1086542214912.

2194122456801 is a `hidden beast` number, since 2 + 194 + 1 + 2 + 2 + 456 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 2194122456801 - 22 = 2194122456797 is a prime.

It is a super-2 number, since 2×21941224568012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2194122456881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220709491 + ... + 220719431.

It is an arithmetic number, because the mean of its divisors is an integer number (72151579500).

Almost surely, 22194122456801 is an apocalyptic number.

It is an amenable number.

2194122456801 is a deficient number, since it is larger than the sum of its proper divisors (1269153359199).

2194122456801 is a wasteful number, since it uses less digits than its factorization.

2194122456801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2194122456801 in words is "two trillion, one hundred ninety-four billion, one hundred twenty-two million, four hundred fifty-six thousand, eight hundred one".

Divisors: 1 3 9 11 33 99 811 2433 2749 7299 8247 8921 9941 24741 26763 29823 30239 80289 89469 90717 109351 272151 328053 984159 2229439 6688317 8062151 20064951 24186453 24523829 27327809 72559359 73571487 81983427 88683661 220714461 245950281 266050983 300605899 798152949 901817697 2705453091 22162853099 66488559297 199465677891 243791384089 731374152267 2194122456801