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2196688462344 = 2332120097254041
BaseRepresentation
bin11111111101110100110…
…101011110001000001000
321210000000222212222210200
4133331310311132020020
5241442304221243334
64401051133212200
7314463662564235
oct37756465361010
97700028788720
102196688462344
11777679407802
122b5896631060
1312c1ba7917bc
147846ac3078c
153c21a870799
hex1ff74d5e208

2196688462344 has 48 divisors (see below), whose sum is σ = 5949437542620. Its totient is φ = 732220508160.

The previous prime is 2196688462343. The next prime is 2196688462369. The reversal of 2196688462344 is 4432648866912.

It is a happy number.

2196688462344 is a `hidden beast` number, since 2 + 1 + 9 + 66 + 88 + 462 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2173672538244 + 23015924100 = 1474338^2 + 151710^2 .

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 (2196688462343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8519964 + ... + 8774004.

Almost surely, 22196688462344 is an apocalyptic number.

2196688462344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2196688462344 is an abundant number, since it is smaller than the sum of its proper divisors (3752749080276).

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

2196688462344 is a wasteful number, since it uses less digits than its factorization.

2196688462344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374150 (or 374143 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 2196688462344 in words is "two trillion, one hundred ninety-six billion, six hundred eighty-eight million, four hundred sixty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 120097 240194 254041 360291 480388 508082 720582 762123 960776 1016164 1080873 1441164 1524246 2032328 2161746 2286369 2882328 3048492 4323492 4572738 6096984 8646984 9145476 18290952 30509561977 61019123954 91528685931 122038247908 183057371862 244076495816 274586057793 366114743724 549172115586 732229487448 1098344231172 2196688462344