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31873936116 = 223114113742989
BaseRepresentation
bin11101101011110101…
…011010101011110100
310001021100102201110110
4131223311122223310
51010234211423431
622350453023020
72205602662311
oct355365325364
9101240381413
1031873936116
1112577007a70
126216624a70
13300c6a1439
141785289d08
15c683d9346
hex76bd5aaf4

31873936116 has 96 divisors (see below), whose sum is σ = 83721133440. Its totient is φ = 9354188800.

The previous prime is 31873936111. The next prime is 31873936169. The reversal of 31873936116 is 61163937813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31873936111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719950 + ... + 762938.

It is an arithmetic number, because the mean of its divisors is an integer number (872095140).

Almost surely, 231873936116 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 31873936116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860566720).

31873936116 is an abundant number, since it is smaller than the sum of its proper divisors (51847197324).

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

31873936116 is a wasteful number, since it uses less digits than its factorization.

31873936116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43185 (or 43183 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The spelling of 31873936116 in words is "thirty-one billion, eight hundred seventy-three million, nine hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 137 164 246 274 411 451 492 548 822 902 1353 1507 1644 1804 2706 3014 4521 5412 5617 6028 9042 11234 16851 18084 22468 33702 42989 61787 67404 85978 123574 128967 171956 185361 247148 257934 370722 472879 515868 741444 945758 1418637 1762549 1891516 2837274 3525098 5287647 5674548 5889493 7050196 10575294 11778986 17668479 19388039 21150588 23557972 35336958 38776078 58164117 64784423 70673916 77552156 116328234 129568846 194353269 232656468 241469213 259137692 388706538 482938426 724407639 777413076 965876852 1448815278 2656161343 2897630556 5312322686 7968484029 10624645372 15936968058 31873936116