Search a number
-
+
31195399404736 = 267587132789393
BaseRepresentation
bin1110001011111001111101…
…01100110011110011000000
311002110020210000120102012101
413011330332230303303000
513042101134221422421
6150202545121040144
76366536035600120
oct705747654636300
9132406700512171
1031195399404736
119a379927798a6
1235b9a64186054
13145393785ba28
1479bc188a0c80
153916e5b55191
hex1c5f3eb33cc0

31195399404736 has 112 divisors (see below), whose sum is σ = 70921429318656. Its totient is φ = 13336474005504.

The previous prime is 31195399404713. The next prime is 31195399404739. The reversal of 31195399404736 is 63740499359113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (31195399404739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348924456 + ... + 349013848.

It is an arithmetic number, because the mean of its divisors is an integer number (633227047488).

Almost surely, 231195399404736 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 31195399404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35460714659328).

31195399404736 is an abundant number, since it is smaller than the sum of its proper divisors (39726029913920).

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

31195399404736 is a wasteful number, since it uses less digits than its factorization.

31195399404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91326 (or 91316 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 64.

The spelling of 31195399404736 in words is "thirty-one trillion, one hundred ninety-five billion, three hundred ninety-nine million, four hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 587 1174 1327 2348 2654 4109 4696 5308 8218 9289 9392 10616 16436 18578 18784 21232 32872 37156 37568 42464 65744 74312 84928 89393 131488 148624 178786 262976 297248 357572 594496 625751 715144 778949 1251502 1430288 1557898 2503004 2860576 3115796 5006008 5452643 5721152 6231592 10012016 10905286 12463184 20024032 21810572 24926368 40048064 43621144 49852736 52473691 87242288 104947382 118624511 174484576 209894764 237249022 348969152 367315837 419789528 474498044 734631674 830371577 839579056 948996088 1469263348 1660743154 1679158112 1897992176 2938526696 3321486308 3358316224 3795984352 5877053392 6642972616 7591968704 11754106784 13285945232 23508213568 26571890464 53143780928 69632587957 139265175914 278530351828 487428115699 557060703656 974856231398 1114121407312 1949712462796 2228242814624 3899424925592 4456485629248 7798849851184 15597699702368 31195399404736