Search a number
-
+
30862024890 = 2353121278429
BaseRepresentation
bin11100101111100001…
…010010000010111010
32221122211100022012220
4130233201102002322
51001201134244030
622102224144510
72141534611644
oct345741220272
987584308186
1030862024890
11120a78990a4
125b93768136
132baab537b8
1416cab1b894
15c09653a10
hex72f8520ba

30862024890 has 96 divisors (see below), whose sum is σ = 77147043840. Its totient is φ = 7900744320.

The previous prime is 30862024889. The next prime is 30862024901. The reversal of 30862024890 is 9842026803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3657196 + ... + 3665624.

It is an arithmetic number, because the mean of its divisors is an integer number (803615040).

Almost surely, 230862024890 is an apocalyptic number.

30862024890 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 30862024890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38573521920).

30862024890 is an abundant number, since it is smaller than the sum of its proper divisors (46285018950).

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

30862024890 is a wasteful number, since it uses less digits than its factorization.

30862024890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 30862024890 in words is "thirty billion, eight hundred sixty-two million, twenty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 127 155 186 254 310 381 465 635 762 930 961 1270 1905 1922 2883 3810 3937 4805 5766 7874 8429 9610 11811 14415 16858 19685 23622 25287 28830 39370 42145 50574 59055 84290 118110 122047 126435 244094 252870 261299 366141 522598 610235 732282 783897 1070483 1220470 1306495 1567794 1830705 2140966 2612990 3211449 3661410 3919485 5352415 6422898 7838970 8100269 10704830 16057245 16200538 24300807 32114490 33184973 40501345 48601614 66369946 81002690 99554919 121504035 165924865 199109838 243008070 331849730 497774595 995549190 1028734163 2057468326 3086202489 5143670815 6172404978 10287341630 15431012445 30862024890