Search a number
-
+
30647071664 = 2411279200381
BaseRepresentation
bin11100100010101101…
…010011001110110000
32221002211212112211022
4130202231103032300
51000231122243124
622025025035012
72133314545106
oct344255231660
987084775738
1030647071664
1111aa7522600
125b33785a68
132b75462241
1416aa365c76
15be5843c5e
hex722b533b0

30647071664 has 60 divisors (see below), whose sum is σ = 66093998880. Its totient is φ = 13754083200.

The previous prime is 30647071519. The next prime is 30647071709. The reversal of 30647071664 is 46617074603.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52754 + ... + 253134.

It is an arithmetic number, because the mean of its divisors is an integer number (1101566648).

Almost surely, 230647071664 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 30647071664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33046999440).

30647071664 is an abundant number, since it is smaller than the sum of its proper divisors (35446927216).

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

30647071664 is a wasteful number, since it uses less digits than its factorization.

30647071664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200490 (or 200473 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 30647071664 in words is "thirty billion, six hundred forty-seven million, seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 242 316 484 632 869 968 1264 1738 1936 3476 6952 9559 13904 19118 38236 76472 152944 200381 400762 801524 1603048 2204191 3206096 4408382 8816764 15830099 17633528 24246101 31660198 35267056 48492202 63320396 96984404 126640792 174131089 193968808 253281584 348262178 387937616 696524356 1393048712 1915441979 2786097424 3830883958 7661767916 15323535832 30647071664