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99813887296 = 26314110391181
BaseRepresentation
bin101110011110101011…
…1110000110101000000
3100112122012102211121121
41130331113300311000
53113404323343141
6113504234002024
710132324020604
oct1347527606500
9315565384547
1099813887296
1139370378952
1217417576314
1395490a8496
144b8c455504
1528e2c251d1
hex173d5f0d40

99813887296 has 112 divisors (see below), whose sum is σ = 209823344640. Its totient is φ = 47033856000.

The previous prime is 99813887219. The next prime is 99813887311. The reversal of 99813887296 is 69278831899.

Its product of digits (94058496) is a multiple of the sum of its prime factors (2304).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84515826 + ... + 84517006.

It is an arithmetic number, because the mean of its divisors is an integer number (1873422720).

Almost surely, 299813887296 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 99813887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104911672320).

99813887296 is an abundant number, since it is smaller than the sum of its proper divisors (110009457344).

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

99813887296 is a wasteful number, since it uses less digits than its factorization.

99813887296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2294 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 70.

The spelling of 99813887296 in words is "ninety-nine billion, eight hundred thirteen million, eight hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1039 1181 1271 1312 1984 2078 2362 2542 2624 4156 4724 5084 8312 9448 10168 16624 18896 20336 32209 33248 36611 37792 40672 42599 48421 64418 66496 73222 75584 81344 85198 96842 128836 146444 170396 193684 257672 292888 340792 387368 515344 585776 681584 774736 1030688 1171552 1227059 1320569 1363168 1501051 1549472 2061376 2343104 2454118 2641138 2726336 3002102 3098944 4908236 5282276 6004204 9816472 10564552 12008408 19632944 21129104 24016816 38038829 39265888 42258208 48033632 50309419 76077658 78531776 84516416 96067264 100618838 152155316 201237676 304310632 402475352 608621264 804950704 1217242528 1559591989 1609901408 2434485056 3119183978 3219802816 6238367956 12476735912 24953471824 49906943648 99813887296