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30208054500 = 22325313516377
BaseRepresentation
bin11100001000100010…
…100101010011100100
32212222020210011111100
4130020202211103210
5443331230221000
621513303240100
72116404140511
oct341042452344
985866704440
1030208054500
11118a17284a8
125a30749030
132b0550c580
141667d26308
15bbc024a00
hex7088a54e4

30208054500 has 144 divisors (see below), whose sum is σ = 102627029232. Its totient is φ = 7435814400.

The previous prime is 30208054493. The next prime is 30208054517. The reversal of 30208054500 is 545080203.

30208054500 is a `hidden beast` number, since 3 + 0 + 208 + 0 + 5 + 450 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6769669284 + 23438385216 = 82278^2 + 153096^2 .

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, 199689 + ... + 316688.

It is an arithmetic number, because the mean of its divisors is an integer number (712687703).

Almost surely, 230208054500 is an apocalyptic number.

30208054500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30208054500 is an abundant number, since it is smaller than the sum of its proper divisors (72418974732).

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

30208054500 is a wasteful number, since it uses less digits than its factorization.

30208054500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516415 (or 516400 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 30208054500 in words is "thirty billion, two hundred eight million, fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1125 1170 1300 1500 1625 1950 2250 2340 2925 3250 3900 4500 4875 5850 6500 9750 11700 14625 19500 29250 58500 516377 1032754 1549131 2065508 2581885 3098262 4647393 5163770 6196524 6712901 7745655 9294786 10327540 12909425 13425802 15491310 18589572 20138703 23236965 25818850 26851604 30982620 33564505 38728275 40277406 46473930 51637700 60416109 64547125 67129010 77456550 80554812 92947860 100693515 116184825 120832218 129094250 134258020 154913100 167822525 193641375 201387030 232369650 241664436 258188500 302080545 335645050 387282750 402774060 464739300 503467575 580924125 604161090 671290100 774565500 839112625 1006935150 1161848250 1208322180 1510402725 1678225250 2013870300 2323696500 2517337875 3020805450 3356450500 5034675750 6041610900 7552013625 10069351500 15104027250 30208054500