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16137228212 = 2272415337889
BaseRepresentation
bin11110000011101101…
…01000111110110100
31112122122001010111222
433001312220332310
5231022112300322
611225140445512
71110616114400
oct170166507664
945578033458
1016137228212
116931054446
1231643a9898
1316a2332a61
14ad1294100
15646aa0e42
hex3c1da8fb4

16137228212 has 72 divisors (see below), whose sum is σ = 34287873480. Its totient is φ = 6619791360.

The previous prime is 16137228209. The next prime is 16137228229. The reversal of 16137228212 is 21282273161.

16137228212 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 98525476 + 16038702736 = 9926^2 + 126644^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406964 + ... + 444852.

It is an arithmetic number, because the mean of its divisors is an integer number (476220465).

Almost surely, 216137228212 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 16137228212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143936740).

16137228212 is an abundant number, since it is smaller than the sum of its proper divisors (18150645268).

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

16137228212 is a wasteful number, since it uses less digits than its factorization.

16137228212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38001 (or 37992 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The spelling of 16137228212 in words is "sixteen billion, one hundred thirty-seven million, two hundred twenty-eight thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 49 53 82 98 106 164 196 212 287 371 574 742 1148 1484 2009 2173 2597 4018 4346 5194 8036 8692 10388 15211 30422 37889 60844 75778 106477 151556 212954 265223 425908 530446 1060892 1553449 1856561 2008117 3106898 3713122 4016234 6213796 7426244 8032468 10874143 14056819 21748286 28113638 43496572 56227276 76119001 82332797 98397733 152238002 164665594 196795466 304476004 329331188 393590932 576329579 1152659158 2305318316 4034307053 8068614106 16137228212