Search a number
-
+
30023520786 = 23272179372137
BaseRepresentation
bin11011111101100010…
…101001001000010010
32212111101112212211100
4123331202221020102
5442442010131121
621443112125230
72112003500400
oct337542511022
985441485740
1030023520786
11118075495a6
12599a996816
132aa620bc1c
14164b60c470
15baac23026
hex6fd8a9212

30023520786 has 144 divisors (see below), whose sum is σ = 80245836216. Its totient is φ = 8061161472.

The previous prime is 30023520749. The next prime is 30023520797. The reversal of 30023520786 is 68702532003.

30023520786 is a `hidden beast` number, since 30 + 0 + 23 + 520 + 7 + 86 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14353238025 + 15670282761 = 119805^2 + 125181^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30023520786.

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 71 ways as a sum of consecutive naturals, for example, 14048310 + ... + 14050446.

Almost surely, 230023520786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023520786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40122918108).

30023520786 is an abundant number, since it is smaller than the sum of its proper divisors (50222315430).

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

30023520786 is a wasteful number, since it uses less digits than its factorization.

30023520786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30023520786 in words is "thirty billion, twenty-three million, five hundred twenty thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 937 1071 1666 1874 2137 2142 2499 2811 4274 4998 5622 6411 6559 7497 8433 12822 13118 14959 14994 15929 16866 19233 19677 29918 31858 36329 38466 39354 44877 45913 47787 59031 72658 89754 91826 95574 104713 108987 111503 118062 134631 137739 143361 209426 217974 223006 254303 269262 275478 286722 314139 326961 334509 413217 508606 628278 653922 669018 762909 780521 826434 942417 1003527 1525818 1561042 1780121 1884834 2002369 2007054 2288727 2341563 3560242 4004738 4577454 4683126 5340363 6007107 7024689 10680726 12014214 14016583 14049378 16021089 18021321 28033166 32042178 34040273 36042642 42049749 68080546 84099498 98116081 102120819 126149247 196232162 204241638 238281911 252298494 294348243 306362457 476563822 588696486 612724914 714845733 883044729 1429691466 1667973377 1766089458 2144537199 3335946754 4289074398 5003920131 10007840262 15011760393 30023520786