Search a number
-
+
30493753353 = 327319312541
BaseRepresentation
bin11100011001100100…
…011100000000001001
32220201011101011122100
4130121210130000021
5444422400101403
622001510544013
72126443425000
oct343144340011
986634334570
1030493753353
1111a28a24258
125ab0368009
132b4c770b4b
141693c55c37
15bd715b2a3
hex71991c009

30493753353 has 144 divisors (see below), whose sum is σ = 55973424000. Its totient is φ = 15945854400.

The previous prime is 30493753351. The next prime is 30493753357. The reversal of 30493753353 is 35335739403.

30493753353 is a `hidden beast` number, since 30 + 4 + 9 + 37 + 533 + 53 = 666.

It is not a de Polignac number, because 30493753353 - 21 = 30493753351 is a prime.

It is a super-3 number, since 3×304937533533 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30493753299 and 30493753308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30493753351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56365263 + ... + 56365803.

Almost surely, 230493753353 is an apocalyptic number.

It is an amenable number.

30493753353 is a deficient number, since it is larger than the sum of its proper divisors (25479670647).

30493753353 is a wasteful number, since it uses less digits than its factorization.

30493753353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 45.

The spelling of 30493753353 in words is "thirty billion, four hundred ninety-three million, seven hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 3 7 9 19 21 31 49 57 63 93 133 147 171 217 279 343 399 441 541 589 651 931 961 1029 1197 1519 1623 1767 1953 2793 2883 3087 3787 4123 4557 4869 5301 6517 6727 8379 8649 10279 10633 11361 12369 13671 16771 18259 19551 20181 26509 28861 30837 31899 34083 37107 47089 50313 54777 58653 60543 71953 79527 86583 92511 95697 117397 127813 141267 150939 164331 185563 202027 215859 238581 259749 318649 329623 352191 383439 423801 503671 519901 556689 606081 647577 821779 894691 955947 988869 1056573 1150317 1511013 1559703 1670067 1818243 2230543 2465337 2684073 2867841 2966607 3525697 3639307 4533039 4679109 5752453 6262837 6691629 7396011 8052219 9878119 10577091 10917921 15613801 17257359 18788511 20074887 25475149 29634357 31731273 32753763 46841403 51772077 56365533 69146833 76425447 88903071 109296607 140524209 178326043 207440499 229276341 327889821 484027831 534978129 622321497 983669463 1452083493 1604934387 3388194817 4356250479 10164584451 30493753353