Search a number
-
+
30507175294332 = 223111721013789443
BaseRepresentation
bin1101110111111000000010…
…10110001011010101111100
311000000110100111111012010120
412323330001112023111330
512444312143333404312
6144514445225534540
76266033146304202
oct673740126132574
9130013314435116
1030507175294332
1197a2025151370
1235085b3344450
131403a77ca9cc9
147767ab51b072
1537d86580028c
hex1bbf0158b57c

30507175294332 has 144 divisors (see below), whose sum is σ = 82572785672832. Its totient is φ = 8692198507520.

The previous prime is 30507175294243. The next prime is 30507175294339. The reversal of 30507175294332 is 23349257170503.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30507175294339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38249203 + ... + 39038645.

It is an arithmetic number, because the mean of its divisors is an integer number (573422122728).

Almost surely, 230507175294332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30507175294332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41286392836416).

30507175294332 is an abundant number, since it is smaller than the sum of its proper divisors (52065610378500).

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

30507175294332 is a wasteful number, since it uses less digits than its factorization.

30507175294332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790508 (or 790489 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 30507175294332 in words is "thirty trillion, five hundred seven billion, one hundred seventy-five million, two hundred ninety-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 561 578 748 867 1013 1122 1156 1734 2026 2244 3039 3179 3468 4052 6078 6358 9537 11143 12156 12716 17221 19074 22286 33429 34442 38148 44572 51663 66858 68884 103326 133716 189431 206652 292757 378862 568293 585514 757724 789443 878271 1136586 1171028 1578886 1756542 2273172 2368329 3157772 3220327 3513084 4736658 6440654 8683873 9473316 9660981 12881308 13420531 17367746 19321962 26051619 26841062 34735492 38643924 40261593 52103238 53682124 80523186 104206476 147625841 161046372 228149027 295251682 442877523 456298054 590503364 684447081 799705759 885755046 912596108 1368894162 1599411518 1771510092 2399117277 2509639297 2737788324 3198823036 4798234554 5019278594 7528917891 8796763349 9596469108 10038557188 13594997903 15057835782 17593526698 26390290047 27189995806 30115671564 35187053396 40784993709 52780580094 54379991612 81569987418 105561160188 149544976933 163139974836 231114964351 299089953866 448634930799 462229928702 598179907732 693344893053 897269861598 924459857404 1386689786106 1794539723196 2542264607861 2773379572212 5084529215722 7626793823583 10169058431444 15253587647166 30507175294332