Search a number
-
+
9830020822425 = 335241563962989
BaseRepresentation
bin1000111100001011101011…
…1001100011010110011001
31021210202000001102100201000
42033002322321203112121
52242023340312304200
632523503233215213
72033124036232026
oct217027271432631
937722001370630
109830020822425
11314a985539071
12112915a101509
13563c75611ccb
1425dac015654d
15120a7c35c300
hex8f0bae63599

9830020822425 has 96 divisors (see below), whose sum is σ = 18502128288000. Its totient is φ = 5113819353600.

The previous prime is 9830020822423. The next prime is 9830020822451. The reversal of 9830020822425 is 5242280200389.

9830020822425 is a `hidden beast` number, since 9 + 8 + 300 + 20 + 82 + 242 + 5 = 666.

It is not a de Polignac number, because 9830020822425 - 21 = 9830020822423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9830020822423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156027831 + ... + 156090819.

It is an arithmetic number, because the mean of its divisors is an integer number (192730503000).

Almost surely, 29830020822425 is an apocalyptic number.

It is an amenable number.

9830020822425 is a deficient number, since it is larger than the sum of its proper divisors (8672107465575).

9830020822425 is a wasteful number, since it uses less digits than its factorization.

9830020822425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68688 (or 68677 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 9830020822425 in words is "nine trillion, eight hundred thirty billion, twenty million, eight hundred twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 135 205 225 369 615 675 1025 1107 1845 3075 5535 5639 9225 16917 27675 28195 50751 62989 84585 140975 152253 188967 231199 253755 314945 422925 566901 693597 761265 944835 1155995 1268775 1574725 1700703 2080791 2582549 2834505 3467985 3806325 4724175 5779975 6242373 7747647 8503515 10403955 12912745 14172525 17339925 23242941 31211865 38738235 42517575 52019775 64563725 69728823 116214705 156059325 193691175 348644115 355194971 581073525 1065584913 1743220575 1775974855 3196754739 5327924565 8879874275 9590264217 14562993811 15983773695 26639622825 43688981433 47951321085 72814969055 79918868475 131066944299 218444907165 239756605425 364074845275 393200832897 655334721495 1092224535825 1966004164485 3276673607475 9830020822425