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108885741472 = 2517417576449
BaseRepresentation
bin110010101101000011…
…0001000111110100000
3101102001102201210000201
41211122012020332200
53240444222211342
6122004343154544
710603201350214
oct1453206107640
9342042653021
10108885741472
11421a61871a2
1219129745a54
13a3636c6231
1453ad212944
152c74396db7
hex195a188fa0

108885741472 has 96 divisors (see below), whose sum is σ = 232858054800. Its totient is φ = 49916805120.

The previous prime is 108885741467. The next prime is 108885741473. The reversal of 108885741472 is 274147588801.

It can be written as a sum of positive squares in 8 ways, for example, as 78666786576 + 30218954896 = 280476^2 + 173836^2 .

It is a super-2 number, since 2×1088857414722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108885741473) 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, 16880904 + ... + 16887352.

Almost surely, 2108885741472 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 108885741472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116429027400).

108885741472 is an abundant number, since it is smaller than the sum of its proper divisors (123972313328).

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

108885741472 is a wasteful number, since it uses less digits than its factorization.

108885741472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 55.

The spelling of 108885741472 in words is "one hundred eight billion, eight hundred eighty-five million, seven hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 757 1312 1394 1514 2788 3028 5576 6056 6449 11152 12112 12869 12898 22304 24224 25738 25796 31037 51476 51592 62074 102952 103184 109633 124148 205904 206368 219266 248296 264409 411808 438532 496592 527629 528818 877064 993184 1055258 1057636 1754128 2110516 2115272 3508256 4221032 4230544 4494953 4881893 8442064 8461088 8989906 9763786 16884128 17979812 19527572 35959624 39055144 71919248 78110288 82992181 143838496 156220576 165984362 200157613 331968724 400315226 663937448 800630452 1327874896 1601260904 2655749792 3202521808 3402679421 6405043616 6805358842 13610717684 27221435368 54442870736 108885741472