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16131677772 = 22371789107347
BaseRepresentation
bin11110000011000010…
…11101111001001100
31112122020121010202010
433001201131321030
5231014202142042
611224421501220
71110520666350
oct170141357114
945566533663
1016131677772
116928a03301
123162571810
1316a113b582
14ad064b460
1564635659c
hex3c185de4c

16131677772 has 48 divisors (see below), whose sum is σ = 43042254080. Its totient is φ = 4606431552.

The previous prime is 16131677761. The next prime is 16131677777. The reversal of 16131677772 is 27777613161.

16131677772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (16131677777) by changing a digit.

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, 96603 + ... + 203949.

Almost surely, 216131677772 is an apocalyptic number.

16131677772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16131677772 is an abundant number, since it is smaller than the sum of its proper divisors (26910576308).

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

16131677772 is a wasteful number, since it uses less digits than its factorization.

16131677772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109150 (or 109148 counting only the distinct ones).

The product of its digits is 518616, while the sum is 48.

The spelling of 16131677772 in words is "sixteen billion, one hundred thirty-one million, six hundred seventy-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1789 3578 5367 7156 10734 12523 21468 25046 37569 50092 75138 107347 150276 214694 322041 429388 644082 751429 1288164 1502858 2254287 3005716 4508574 9017148 192043783 384087566 576131349 768175132 1152262698 1344306481 2304525396 2688612962 4032919443 5377225924 8065838886 16131677772