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30438792150 = 235213137311369
BaseRepresentation
bin11100010110010010…
…110001101111010110
32220120022221212001020
4130112102301233112
5444314312322100
621552224542010
72125205315154
oct342622615726
986508855036
1030438792150
11119aa9a5078
125a95a81906
132b41269520
14168a82a3d4
15bd24015a0
hex7164b1bd6

30438792150 has 96 divisors (see below), whose sum is σ = 81361355040. Its totient is φ = 7486510080.

The previous prime is 30438792143. The next prime is 30438792199. The reversal of 30438792150 is 5129783403.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2671666 + ... + 2683034.

It is an arithmetic number, because the mean of its divisors is an integer number (847514115).

Almost surely, 230438792150 is an apocalyptic number.

30438792150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30438792150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40680677520).

30438792150 is an abundant number, since it is smaller than the sum of its proper divisors (50922562890).

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

30438792150 is a wasteful number, since it uses less digits than its factorization.

30438792150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 30438792150 in words is "thirty billion, four hundred thirty-eight million, seven hundred ninety-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1373 1950 2746 4119 6865 8238 11369 13730 17849 20595 22738 34107 34325 35698 41190 53547 56845 68214 68650 89245 102975 107094 113690 147797 170535 178490 205950 267735 284225 295594 341070 443391 446225 535470 568450 738985 852675 886782 892450 1338675 1477970 1705350 2216955 2677350 3694925 4433910 7389850 11084775 15609637 22169550 31219274 46828911 78048185 93657822 156096370 202925281 234144555 390240925 405850562 468289110 608775843 780481850 1014626405 1170722775 1217551686 2029252810 2341445550 3043879215 5073132025 6087758430 10146264050 15219396075 30438792150