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30078505128 = 23372961101209
BaseRepresentation
bin11100000000110100…
…011001000010101000
32212122020000101011110
4130000310121002220
5443100044131003
621452354430320
72113242034530
oct340064310250
985566011143
1030078505128
1111835594101
1259b52923a0
132ab4720c39
141654a424c0
15bb0984a03
hex700d190a8

30078505128 has 128 divisors (see below), whose sum is σ = 90360288000. Its totient is φ = 8161413120.

The previous prime is 30078505091. The next prime is 30078505151. The reversal of 30078505128 is 82150587003.

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, 246588 + ... + 347796.

It is an arithmetic number, because the mean of its divisors is an integer number (705939750).

Almost surely, 230078505128 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 30078505128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45180144000).

30078505128 is an abundant number, since it is smaller than the sum of its proper divisors (60281782872).

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

30078505128 is a wasteful number, since it uses less digits than its factorization.

30078505128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101315 (or 101311 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 30078505128 in words is "thirty billion, seventy-eight million, five hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 61 84 87 116 122 168 174 183 203 232 244 348 366 406 427 488 609 696 732 812 854 1218 1281 1464 1624 1708 1769 2436 2562 3416 3538 4872 5124 5307 7076 10248 10614 12383 14152 21228 24766 37149 42456 49532 74298 99064 101209 148596 202418 297192 303627 404836 607254 708463 809672 1214508 1416926 2125389 2429016 2833852 2935061 4250778 5667704 5870122 6173749 8501556 8805183 11740244 12347498 17003112 17610366 18521247 20545427 23480488 24694996 35220732 37042494 41090854 43216243 49389992 61636281 70441464 74084988 82181708 86432486 123272562 129648729 148169976 164363416 172864972 179038721 246545124 259297458 345729944 358077442 493090248 518594916 537116163 716154884 1037189832 1074232326 1253271047 1432309768 2148464652 2506542094 3759813141 4296929304 5013084188 7519626282 10026168376 15039252564 30078505128