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31349239096 = 23717431814231
BaseRepresentation
bin11101001100100011…
…110110110100111000
32222220210010100110111
4131030203312310320
51003200401122341
622222430554104
72156602064350
oct351443666470
988823110414
1031349239096
111232791236a
1260aa968934
132c57a80026
141735705b60
15c372e3681
hex74c8f6d38

31349239096 has 128 divisors (see below), whose sum is σ = 73202088960. Its totient is φ = 12279859200.

The previous prime is 31349239091. The next prime is 31349239157. The reversal of 31349239096 is 69093294313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31349239091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7407301 + ... + 7411531.

It is an arithmetic number, because the mean of its divisors is an integer number (571891320).

Almost surely, 231349239096 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 31349239096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36601044480).

31349239096 is an abundant number, since it is smaller than the sum of its proper divisors (41852849864).

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

31349239096 is a wasteful number, since it uses less digits than its factorization.

31349239096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 49.

The spelling of 31349239096 in words is "thirty-one billion, three hundred forty-nine million, two hundred thirty-nine thousand, ninety-six".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 181 238 301 344 362 476 602 724 731 952 1204 1267 1448 1462 2408 2534 2924 3077 4231 5068 5117 5848 6154 7783 8462 10136 10234 12308 15566 16924 20468 21539 24616 29617 31132 33848 40936 43078 54481 59234 62264 71927 86156 108962 118468 132311 143854 172312 181933 217924 236936 264622 287708 363866 435848 503489 529244 575416 727732 765811 926177 1006978 1058488 1273531 1455464 1531622 1852354 2013956 2547062 3063244 3092861 3704708 4027912 5094124 5360677 6126488 6185722 7409416 10188248 10721354 12371444 13018787 21442708 21650027 24742888 26037574 32929873 42885416 43300054 52075148 65859746 86600108 91131509 104150296 131719492 173200216 182263018 230509111 263438984 364526036 461018222 559807841 729052072 922036444 1119615682 1844072888 2239231364 3918654887 4478462728 7837309774 15674619548 31349239096