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30541225560 = 23351775719777
BaseRepresentation
bin11100011100011001…
…100001111001011000
32220211110201000021020
4130130121201321120
51000022023204220
622010324242440
72130561063636
oct343431417130
986743630236
1030541225560
1111a527a888a
125b04240420
132b59552801
14169a292356
15bdb3d7040
hex71c661e58

30541225560 has 128 divisors (see below), whose sum is σ = 97146371520. Its totient is φ = 7654735872.

The previous prime is 30541225553. The next prime is 30541225591. The reversal of 30541225560 is 6552214503.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1534392 + ... + 1554168.

Almost surely, 230541225560 is an apocalyptic number.

30541225560 is a gapful number since it is divisible by the number (30) 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 30541225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48573185760).

30541225560 is an abundant number, since it is smaller than the sum of its proper divisors (66605145960).

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

30541225560 is a wasteful number, since it uses less digits than its factorization.

30541225560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20565 (or 20561 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 30541225560 in words is "thirty billion, five hundred forty-one million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 757 1020 1514 2040 2271 3028 3785 4542 6056 7570 9084 11355 12869 15140 18168 19777 22710 25738 30280 38607 39554 45420 51476 59331 64345 77214 79108 90840 98885 102952 118662 128690 154428 158216 193035 197770 237324 257380 296655 308856 336209 386070 395540 474648 514760 593310 672418 772140 791080 1008627 1186620 1344836 1544280 1681045 2017254 2373240 2689672 3362090 4034508 5043135 6724180 8069016 10086270 13448360 14971189 20172540 29942378 40345080 44913567 59884756 74855945 89827134 119769512 149711890 179654268 224567835 254510213 299423780 359308536 449135670 509020426 598847560 763530639 898271340 1018040852 1272551065 1527061278 1796542680 2036081704 2545102130 3054122556 3817653195 5090204260 6108245112 7635306390 10180408520 15270612780 30541225560