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30334837050 = 23252710790001
BaseRepresentation
bin11100010000000110…
…001110000100111010
32220022002100101110100
4130100012032010322
5444111204241200
621534032500230
72122503601110
oct342006160472
986262311410
1030334837050
1111957252071
125a670aa676
132b2586c72b
14167aac9ab0
15bc8219d00
hex71018e13a

30334837050 has 144 divisors (see below), whose sum is σ = 94013929152. Its totient is φ = 6868800000.

The previous prime is 30334837037. The next prime is 30334837051. The reversal of 30334837050 is 5073843303.

It is a happy number.

30334837050 is a `hidden beast` number, since 30 + 33 + 483 + 70 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30334836996 and 30334837014.

It is not an unprimeable number, because it can be changed into a prime (30334837051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 292050 + ... + 382050.

It is an arithmetic number, because the mean of its divisors is an integer number (652874508).

Almost surely, 230334837050 is an apocalyptic number.

30334837050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30334837050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47006964576).

30334837050 is an abundant number, since it is smaller than the sum of its proper divisors (63679092102).

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

30334837050 is a wasteful number, since it uses less digits than its factorization.

30334837050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90133 (or 90125 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 30334837050 in words is "thirty billion, three hundred thirty-four million, eight hundred thirty-seven thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 107 126 150 175 210 214 225 315 321 350 450 525 535 630 642 749 963 1050 1070 1498 1575 1605 1926 2247 2675 3150 3210 3745 4494 4815 5350 6741 7490 8025 9630 11235 13482 16050 18725 22470 24075 33705 37450 48150 56175 67410 90001 112350 168525 180002 270003 337050 450005 540006 630007 810009 900010 1260014 1350015 1620018 1890021 2250025 2700030 3150035 3780042 4050045 4500050 5670063 6300070 6750075 8100090 9450105 9630107 11340126 13500150 15750175 18900210 19260214 20250225 28350315 28890321 31500350 40500450 47250525 48150535 56700630 57780642 67410749 86670963 94501050 96301070 134821498 141751575 144451605 173341926 202232247 240752675 283503150 288903210 337053745 404464494 433354815 481505350 606696741 674107490 722258025 866709630 1011161235 1213393482 1444516050 1685268725 2022322470 2166774075 3033483705 3370537450 4333548150 5055806175 6066967410 10111612350 15167418525 30334837050