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99124095672 = 233272144719417
BaseRepresentation
bin101110001010001000…
…0011010101010111000
3100110212010110210101200
41130110100122222320
53111001232030142
6113311553214200
710106246624400
oct1342420325270
9313763423350
1099124095672
1139046a71228
1217264561360
139469201764
144b249b7800
1528a23bc64c
hex171441aab8

99124095672 has 144 divisors (see below), whose sum is σ = 312523389360. Its totient is φ = 28300140288.

The previous prime is 99124095671. The next prime is 99124095691. The reversal of 99124095672 is 27659042199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99124095671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5095308 + ... + 5114724.

It is an arithmetic number, because the mean of its divisors is an integer number (2170301315).

Almost surely, 299124095672 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 99124095672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156261694680).

99124095672 is an abundant number, since it is smaller than the sum of its proper divisors (213399293688).

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

99124095672 is a wasteful number, since it uses less digits than its factorization.

99124095672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20890 (or 20876 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 99124095672 in words is "ninety-nine billion, one hundred twenty-four million, ninety-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1447 1764 2894 3528 4341 5788 8682 10129 11576 13023 17364 19417 20258 26046 30387 34728 38834 40516 52092 58251 60774 70903 77668 81032 91161 104184 116502 121548 135919 141806 155336 174753 182322 212709 233004 243096 271838 283612 349506 364644 407757 425418 466008 543676 567224 638127 699012 729288 815514 850836 951433 1087352 1223271 1276254 1398024 1631028 1701672 1902866 2446542 2552508 2854299 3262056 3805732 4893084 5105016 5708598 7611464 8562897 9786168 11417196 17125794 22834392 28096399 34251588 56192798 68503176 84289197 112385596 168578394 196674793 224771192 252867591 337156788 393349586 505735182 590024379 674313576 786699172 1011470364 1180048758 1376723551 1573398344 1770073137 2022940728 2360097516 2753447102 3540146274 4130170653 4720195032 5506894204 7080292548 8260341306 11013788408 12390511959 14160585096 16520682612 24781023918 33041365224 49562047836 99124095672