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30055105024 = 297107181433
BaseRepresentation
bin11011111111011011…
…001000001000000000
32212120120222112020221
4123333123020020000
5443023101330044
621450201112424
72112536114620
oct337733101000
985516875227
1030055105024
111182336127a
1259a9488714
132aac91a019
1416518b0880
15bad8b1484
hex6ff6c8200

30055105024 has 160 divisors (see below), whose sum is σ = 69815281536. Its totient is φ = 12660572160.

The previous prime is 30055105021. The next prime is 30055105039. The reversal of 30055105024 is 42050155003.

It is a self number, because there is not a number n which added to its sum of digits gives 30055105024.

It is not an unprimeable number, because it can be changed into a prime (30055105021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69411112 + ... + 69411544.

Almost surely, 230055105024 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 30055105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34907640768).

30055105024 is an abundant number, since it is smaller than the sum of its proper divisors (39760176512).

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

30055105024 is a wasteful number, since it uses less digits than its factorization.

30055105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 30055105024 in words is "thirty billion, fifty-five million, one hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 181 214 224 256 362 428 433 448 512 724 749 856 866 896 1267 1448 1498 1712 1732 1792 2534 2896 2996 3031 3424 3464 3584 5068 5792 5992 6062 6848 6928 10136 11584 11984 12124 13696 13856 19367 20272 23168 23968 24248 27392 27712 38734 40544 46331 46336 47936 48496 54784 55424 77468 78373 81088 92662 92672 95872 96992 110848 135569 154936 156746 162176 185324 191744 193984 221696 271138 309872 313492 324317 324352 370648 383488 387968 542276 548611 619744 626984 648634 648704 741296 775936 1084552 1097222 1239488 1253968 1297268 1482592 1551872 2169104 2194444 2478976 2507936 2594536 2965184 4338208 4388888 4957952 5015872 5189072 5930368 8385911 8676416 8777776 9915904 10031744 10378144 11860736 16771822 17352832 17555552 20063488 20756288 23721472 33543644 34705664 35111104 40126976 41512576 58701377 67087288 69411328 70222208 83025152 117402754 134174576 140444416 166050304 234805508 268349152 280888832 469611016 536698304 939222032 1073396608 1878444064 2146793216 3756888128 4293586432 7513776256 15027552512 30055105024