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30158138736 = 2432113157349
BaseRepresentation
bin11100000101100100…
…001010110101110000
32212211202212011221100
4130011210022311300
5443230440414421
621504321324400
72115226643505
oct340544126560
985752764840
1030158138736
1111876535000
125a17a96700
132ac808360b
1416614514ac
15bb7964c26
hex70590ad70

30158138736 has 120 divisors (see below), whose sum is σ = 92835241200. Its totient is φ = 9138771840.

The previous prime is 30158138713. The next prime is 30158138743. The reversal of 30158138736 is 63783185103.

30158138736 is a `hidden beast` number, since 3 + 0 + 1 + 581 + 38 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30158138691 and 30158138700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112990 + ... + 270338.

It is an arithmetic number, because the mean of its divisors is an integer number (773627010).

Almost surely, 230158138736 is an apocalyptic number.

30158138736 is a gapful number since it is divisible by the number (36) 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 30158138736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46417620600).

30158138736 is an abundant number, since it is smaller than the sum of its proper divisors (62677102464).

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

30158138736 is a wasteful number, since it uses less digits than its factorization.

30158138736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157396 (or 157365 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30158138736 in words is "thirty billion, one hundred fifty-eight million, one hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1331 1452 1584 1936 2178 2662 2904 3993 4356 5324 5808 7986 8712 10648 11979 15972 17424 21296 23958 31944 47916 63888 95832 157349 191664 314698 472047 629396 944094 1258792 1416141 1730839 1888188 2517584 2832282 3461678 3776376 5192517 5664564 6923356 7552752 10385034 11329128 13846712 15577551 19039229 20770068 22658256 27693424 31155102 38078458 41540136 57117687 62310204 76156916 83080272 114235374 124620408 152313832 171353061 209431519 228470748 249240816 304627664 342706122 418863038 456941496 628294557 685412244 837726076 913882992 1256589114 1370824488 1675452152 1884883671 2513178228 2741648976 3350904304 3769767342 5026356456 7539534684 10052712912 15079069368 30158138736