Search a number
-
+
30541220528 = 24713171319419
BaseRepresentation
bin11100011100011001…
…100000101010110000
32220211110200202100212
4130130121200222300
51000022023024103
622010324203252
72130561043160
oct343431405260
986743622325
1030541220528
1111a527a5025
125b04239528
132b59550430
14169a2905a0
15bdb3d57d8
hex71c660ab0

30541220528 has 160 divisors (see below), whose sum is σ = 77710026240. Its totient is φ = 11283517440.

The previous prime is 30541220449. The next prime is 30541220533. The reversal of 30541220528 is 82502214503.

It is a junction number, because it is equal to n+sod(n) for n = 30541220494 and 30541220503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3237803 + ... + 3247221.

It is an arithmetic number, because the mean of its divisors is an integer number (485687664).

Almost surely, 230541220528 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 30541220528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38855013120).

30541220528 is an abundant number, since it is smaller than the sum of its proper divisors (47168805712).

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

30541220528 is a wasteful number, since it uses less digits than its factorization.

30541220528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 30541220528 in words is "thirty billion, five hundred forty-one million, two hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 131 136 182 208 221 238 262 272 364 442 476 524 728 884 917 952 1048 1456 1547 1703 1768 1834 1904 2096 2227 3094 3406 3536 3668 4454 6188 6812 7336 8908 9419 11921 12376 13624 14672 15589 17816 18838 23842 24752 27248 28951 31178 35632 37676 47684 57902 62356 65933 75352 95368 115804 122447 124712 131866 150704 160123 190736 202657 231608 244894 249424 263732 320246 405314 463216 489788 527464 640492 810628 857129 979576 1054928 1120861 1233889 1280984 1621256 1714258 1959152 2081599 2241722 2467778 2561968 3242512 3428516 4163198 4483444 4935556 6857032 8326396 8637223 8966888 9871112 13714064 14571193 16040557 16652792 17274446 17933776 19742224 20976113 29142386 32081114 33305584 34548892 41952226 58284772 64162228 69097784 83904452 112283899 116569544 128324456 138195568 146832791 167808904 224567798 233139088 256648912 272689469 293665582 335617808 449135596 545378938 587331164 898271192 1090757876 1174662328 1796542384 1908826283 2181515752 2349324656 3817652566 4363031504 7635305132 15270610264 30541220528