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30850070850 = 23252172237217
BaseRepresentation
bin11100101110110011…
…101011100101000010
32221121222211222100200
4130232303223211002
51001140104231400
622101120030030
72141331163344
oct345663534502
987558758320
1030850070850
11120a1073925
125b8b762316
132ba85296c1
1416c92c9294
15c08591b00
hex72eceb942

30850070850 has 108 divisors (see below), whose sum is σ = 88046544534. Its totient is φ = 7742730240.

The previous prime is 30850070843. The next prime is 30850070963. The reversal of 30850070850 is 5807005803.

It is a happy number.

30850070850 is a `hidden beast` number, since 3 + 0 + 8 + 500 + 70 + 85 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 12243201201 + 18606869649 = 110649^2 + 136407^2 .

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 53 ways as a sum of consecutive naturals, for example, 11442 + ... + 248658.

Almost surely, 230850070850 is an apocalyptic number.

30850070850 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 30850070850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44023272267).

30850070850 is an abundant number, since it is smaller than the sum of its proper divisors (57196473684).

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

30850070850 is a wasteful number, since it uses less digits than its factorization.

30850070850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237269 (or 237244 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 30850070850 in words is "thirty billion, eight hundred fifty million, seventy thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 289 306 425 450 510 578 765 850 867 1275 1445 1530 1734 2550 2601 2890 3825 4335 5202 7225 7650 8670 13005 14450 21675 26010 43350 65025 130050 237217 474434 711651 1186085 1423302 2134953 2372170 3558255 4032689 4269906 5930425 7116510 8065378 10674765 11860850 12098067 17791275 20163445 21349530 24196134 35582550 36294201 40326890 53373825 60490335 68555713 72588402 100817225 106747650 120980670 137111426 181471005 201634450 205667139 302451675 342778565 362942010 411334278 604903350 617001417 685557130 907355025 1028335695 1234002834 1713892825 1814710050 2056671390 3085007085 3427785650 5141678475 6170014170 10283356950 15425035425 30850070850