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30054408216 = 23372915140853
BaseRepresentation
bin11011111111011000…
…011110000000011000
32212120112200010102020
4123333120132000120
5443022412030331
621450134134440
72112530153250
oct337730360030
985515603366
1030054408216
1111822a257a8
1259a91b1420
132aac734b01
14165176c960
15bad7c4c96
hex6ff61e018

30054408216 has 128 divisors (see below), whose sum is σ = 89421235200. Its totient is φ = 8235763200.

The previous prime is 30054408193. The next prime is 30054408253. The reversal of 30054408216 is 61280445003.

It is a congruent number.

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, 715246 + ... + 756098.

It is an arithmetic number, because the mean of its divisors is an integer number (698603400).

Almost surely, 230054408216 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 30054408216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44710617600).

30054408216 is an abundant number, since it is smaller than the sum of its proper divisors (59366826984).

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

30054408216 is a wasteful number, since it uses less digits than its factorization.

30054408216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41049 (or 41045 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 30054408216 in words is "thirty billion, fifty-four million, four hundred eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 151 168 174 203 232 302 348 406 453 604 609 696 812 906 1057 1208 1218 1624 1812 2114 2436 3171 3624 4228 4379 4872 6342 8456 8758 12684 13137 17516 25368 26274 30653 35032 40853 52548 61306 81706 91959 105096 122559 122612 163412 183918 245118 245224 285971 326824 367836 490236 571942 735672 857913 980472 1143884 1184737 1715826 2287768 2369474 3431652 3554211 4738948 6168803 6863304 7108422 8293159 9477896 12337606 14216844 16586318 18506409 24675212 24879477 28433688 33172636 37012818 43181621 49350424 49758954 66345272 74025636 86363242 99517908 129544863 148051272 172726484 178895287 199035816 259089726 345452968 357790574 518179452 536685861 715581148 1036358904 1073371722 1252267009 1431162296 2146743444 2504534018 3756801027 4293486888 5009068036 7513602054 10018136072 15027204108 30054408216