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99999000540 = 2232523911172081
BaseRepresentation
bin101110100100001100…
…1111010011111011100
3100120010002202120020200
41131020121322133130
53114244221004130
6113534445343500
710140032323425
oct1351031723734
9316102676220
1099999000540
11394559131aa
1217469567b90
13957854c84a
144ba8c8064c
1529040dd760
hex174867a7dc

99999000540 has 144 divisors (see below), whose sum is σ = 305018663040. Its totient is φ = 26518302720.

The previous prime is 99999000503. The next prime is 99999000589. The reversal of 99999000540 is 4500099999.

It is a happy number.

99999000540 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 90 + 0 + 0 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48052300 + ... + 48054380.

It is an arithmetic number, because the mean of its divisors is an integer number (2118185160).

Almost surely, 299999000540 is an apocalyptic number.

99999000540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99999000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152509331520).

99999000540 is an abundant number, since it is smaller than the sum of its proper divisors (205019662500).

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

99999000540 is a wasteful number, since it uses less digits than its factorization.

99999000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 99999000540 in words is "ninety-nine billion, nine hundred ninety-nine million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 717 956 1117 1195 1434 2081 2151 2234 2390 2868 3351 3585 4162 4302 4468 4780 5585 6243 6702 7170 8324 8604 10053 10405 10755 11170 12486 13404 14340 16755 18729 20106 20810 21510 22340 24972 31215 33510 37458 40212 41620 43020 50265 62430 67020 74916 93645 100530 124860 187290 201060 266963 374580 497359 533926 800889 994718 1067852 1334815 1492077 1601778 1989436 2324477 2402667 2486795 2669630 2984154 3203556 4004445 4476231 4648954 4805334 4973590 5339260 5968308 6973431 7460385 8008890 8952462 9297908 9610668 9947180 11622385 12013335 13946862 14920770 16017780 17904924 20920293 22381155 23244770 24026670 27893724 29841540 34867155 41840586 44762310 46489540 48053340 69734310 83681172 89524620 104601465 139468620 209202930 418405860 555550003 1111100006 1666650009 2222200012 2777750015 3333300018 4999950027 5555500030 6666600036 8333250045 9999900054 11111000060 16666500090 19999800108 24999750135 33333000180 49999500270 99999000540