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30056246900 = 2252674639689
BaseRepresentation
bin11011111111011111…
…011110111001110100
32212120200010112121122
4123333133132321310
5443023344400100
621450241403112
72112551611661
oct337737367164
985520115548
1030056246900
1111823a71179
1259a9939498
132aacc299a4
141651acaa68
15bada39985
hex6ff7dee74

30056246900 has 72 divisors (see below), whose sum is σ = 66345336960. Its totient is φ = 11816259840.

The previous prime is 30056246897. The next prime is 30056246911. The reversal of 30056246900 is 964265003.

It is a super-2 number, since 2×300562469002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3097256 + ... + 3106944.

Almost surely, 230056246900 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 30056246900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33172668480).

30056246900 is an abundant number, since it is smaller than the sum of its proper divisors (36289090060).

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

30056246900 is a wasteful number, since it uses less digits than its factorization.

30056246900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 30056246900 in words is "thirty billion, fifty-six million, two hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 463 670 926 1340 1675 1852 2315 3350 4630 6700 9260 9689 11575 19378 23150 31021 38756 46300 48445 62042 96890 124084 155105 193780 242225 310210 484450 620420 649163 775525 968900 1298326 1551050 2596652 3102100 3245815 4486007 6491630 8972014 12983260 16229075 17944028 22430035 32458150 44860070 64916300 89720140 112150175 224300350 300562469 448600700 601124938 1202249876 1502812345 3005624690 6011249380 7514061725 15028123450 30056246900