Search a number
-
+
30819206912 = 281321143889
BaseRepresentation
bin11100101100111101…
…111100011100000000
32221112211202220222212
4130230331330130000
51001104204110122
622054054321252
72140504636124
oct345475743400
987484686885
1030819206912
111208570333a
125b81359228
132ba2011410
1416c5173584
15c059e6ce2
hex72cf7c700

30819206912 has 72 divisors (see below), whose sum is σ = 66565680720. Its totient is φ = 14156513280.

The previous prime is 30819206909. The next prime is 30819206939. The reversal of 30819206912 is 21960291803.

It is a self number, because there is not a number n which added to its sum of digits gives 30819206912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680264 + ... + 724152.

Almost surely, 230819206912 is an apocalyptic number.

30819206912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30819206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33282840360).

30819206912 is an abundant number, since it is smaller than the sum of its proper divisors (35746473808).

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

30819206912 is a wasteful number, since it uses less digits than its factorization.

30819206912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44129 (or 44115 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 30819206912 in words is "thirty billion, eight hundred nineteen million, two hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 211 256 416 422 832 844 1664 1688 2743 3328 3376 5486 6752 10972 13504 21944 27008 43888 43889 54016 87776 87778 175552 175556 351104 351112 570557 702208 702224 1141114 1404448 2282228 2808896 4564456 5617792 9128912 9260579 11235584 18257824 18521158 36515648 37042316 73031296 74084632 120387527 146062592 148169264 240775054 296338528 481550108 592677056 963100216 1185354112 1926200432 2370708224 3852400864 7704801728 15409603456 30819206912