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6169216144 = 247135577607
BaseRepresentation
bin1011011111011011…
…01100010010010000
3120220221110122120211
411233231230102100
5100113304404034
62500055413504
7305610320620
oct55755542220
916827418524
106169216144
1126863a8443
121242084294
13774165370
1442749a880
15261910d64
hex16fb6c490

6169216144 has 80 divisors (see below), whose sum is σ = 14739556608. Its totient is φ = 2435867136.

The previous prime is 6169216121. The next prime is 6169216177. The reversal of 6169216144 is 4416129616.

It is a junction number, because it is equal to n+sod(n) for n = 6169216097 and 6169216106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807189 + ... + 814795.

Almost surely, 26169216144 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 6169216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369778304).

6169216144 is an abundant number, since it is smaller than the sum of its proper divisors (8570340464).

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

6169216144 is a wasteful number, since it uses less digits than its factorization.

6169216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8186 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 6169216144 is about 78544.3578113667. The cubic root of 6169216144 is about 1834.0450345647.

The spelling of 6169216144 in words is "six billion, one hundred sixty-nine million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 557 728 1114 1456 2228 3899 4456 7241 7607 7798 8912 14482 15214 15596 28964 30428 31192 50687 53249 57928 60856 62384 98891 101374 106498 115856 121712 197782 202748 212996 395564 405496 425992 692237 791128 810992 851984 1384474 1582256 2768948 4237099 5537896 8474198 11075792 16948396 29659693 33896792 55082287 59319386 67793584 110164574 118638772 220329148 237277544 385576009 440658296 474555088 771152018 881316592 1542304036 3084608072 6169216144