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99511382320 = 24572335921521
BaseRepresentation
bin101110010101101010…
…1110011000100110000
3100111212010012222210121
41130223111303010300
53112244403213240
6113414230140024
710121661536110
oct1345325630460
9314763188717
1099511382320
1139225643439
12173521b1614
1394cb51145c
144b601cd040
1528c63be04a
hex172b573130

99511382320 has 160 divisors (see below), whose sum is σ = 276693719040. Its totient is φ = 32542371840.

The previous prime is 99511382261. The next prime is 99511382339. The reversal of 99511382320 is 2328311599.

It is a super-2 number, since 2×995113823202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4613160 + ... + 4634680.

It is an arithmetic number, because the mean of its divisors is an integer number (1729335744).

Almost surely, 299511382320 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 99511382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138346859520).

99511382320 is an abundant number, since it is smaller than the sum of its proper divisors (177182336720).

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

99511382320 is a wasteful number, since it uses less digits than its factorization.

99511382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21923 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 99511382320 in words is "ninety-nine billion, five hundred eleven million, three hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 359 368 460 560 644 718 805 920 1288 1436 1610 1795 1840 2513 2576 2872 3220 3590 5026 5744 6440 7180 8257 10052 12565 12880 14360 16514 20104 21521 25130 28720 33028 40208 41285 43042 50260 57799 66056 82570 86084 100520 107605 115598 132112 150647 165140 172168 201040 215210 231196 288995 301294 330280 344336 430420 462392 494983 577990 602588 660560 753235 860840 924784 989966 1155980 1205176 1506470 1721680 1979932 2311960 2410352 2474915 3012940 3464881 3959864 4623920 4949830 6025880 6929762 7726039 7919728 9899660 12051760 13859524 15452078 17324405 19799320 27719048 30904156 34648810 38630195 39598640 54082273 55438096 61808312 69297620 77260390 108164546 123616624 138595240 154520780 177698897 216329092 270411365 277190480 309041560 355397794 432658184 540822730 618083120 710795588 865316368 888494485 1081645460 1243892279 1421591176 1776988970 2163290920 2487784558 2843182352 3553977940 4326581840 4975569116 6219461395 7107955880 9951138232 12438922790 14215911760 19902276464 24877845580 49755691160 99511382320