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30066239136 = 2531013139907
BaseRepresentation
bin11100000000000101…
…100110011010100000
32212121100221012101110
4130000011212122200
5443033424123021
621451235503320
72113032546603
oct340005463240
985540835343
1030066239136
111182967651a
1259b1157b40
132ab2017b5b
14165316c33a
15bae860476
hex7001666a0

30066239136 has 96 divisors (see below), whose sum is σ = 79968022848. Its totient is φ = 9890150400.

The previous prime is 30066239113. The next prime is 30066239191. The reversal of 30066239136 is 63193266003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30066239094 and 30066239103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3029895 + ... + 3039801.

It is an arithmetic number, because the mean of its divisors is an integer number (833000238).

Almost surely, 230066239136 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 30066239136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39984011424).

30066239136 is an abundant number, since it is smaller than the sum of its proper divisors (49901783712).

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

30066239136 is a wasteful number, since it uses less digits than its factorization.

30066239136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The spelling of 30066239136 in words is "thirty billion, sixty-six million, two hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 313 404 606 626 808 939 1212 1252 1616 1878 2424 2504 3232 3756 4848 5008 7512 9696 9907 10016 15024 19814 29721 30048 31613 39628 59442 63226 79256 94839 118884 126452 158512 189678 237768 252904 317024 379356 475536 505808 758712 951072 1000607 1011616 1517424 2001214 3001821 3034848 3100891 4002428 6003642 6201782 8004856 9302673 12007284 12403564 16009712 18605346 24014568 24807128 32019424 37210692 48029136 49614256 74421384 96058272 99228512 148842768 297685536 313189991 626379982 939569973 1252759964 1879139946 2505519928 3758279892 5011039856 7516559784 10022079712 15033119568 30066239136