Search a number
-
+
30246617056 = 25171012112609
BaseRepresentation
bin11100001010110101…
…101011111111100000
32220001221100100101011
4130022311223333200
5443421113221211
621521201550304
72120353001005
oct341265537740
986057310334
1030246617056
1111911477087
125a41645394
132b104c1a56
14166d0c38ac
15bc05e0921
hex70ad6bfe0

30246617056 has 96 divisors (see below), whose sum is σ = 64001417760. Its totient is φ = 14020608000.

The previous prime is 30246617033. The next prime is 30246617119. The reversal of 30246617056 is 65071664203.

It is a congruent number.

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, 11591880 + ... + 11594488.

It is an arithmetic number, because the mean of its divisors is an integer number (666681435).

Almost surely, 230246617056 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 30246617056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32000708880).

30246617056 is an abundant number, since it is smaller than the sum of its proper divisors (33754800704).

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

30246617056 is a wasteful number, since it uses less digits than its factorization.

30246617056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 30246617056 in words is "thirty billion, two hundred forty-six million, six hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 211 272 404 422 544 808 844 1616 1688 1717 2609 3232 3376 3434 3587 5218 6752 6868 7174 10436 13736 14348 20872 21311 27472 28696 41744 42622 44353 54944 57392 83488 85244 88706 114784 170488 177412 263509 340976 354824 362287 527018 550499 681952 709648 724574 1054036 1100998 1419296 1449148 2108072 2201996 2898296 4216144 4403992 4479653 5796592 8432288 8807984 8959306 9358483 11593184 17615968 17918612 18716966 35837224 37433932 55600399 71674448 74867864 111200798 143348896 149735728 222401596 299471456 444803192 889606384 945206783 1779212768 1890413566 3780827132 7561654264 15123308528 30246617056