Search a number
-
+
30003746556 = 22371772728901
BaseRepresentation
bin11011111100010111…
…001101011011111100
32212110000100020200110
4123330113031123330
5442421424342211
621441124230020
72111343431520
oct337427153374
985400306613
1030003746556
11117a7372963
12599423b310
132aa20a74b4
141648b41d80
15ba9118ea6
hex6fc5cd6fc

30003746556 has 96 divisors (see below), whose sum is σ = 84835924992. Its totient is φ = 8056857600.

The previous prime is 30003746533. The next prime is 30003746557. The reversal of 30003746556 is 65564730003.

It is a super-2 number, since 2×300037465562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30003746557) 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 31 ways as a sum of consecutive naturals, for example, 1023706 + ... + 1052606.

It is an arithmetic number, because the mean of its divisors is an integer number (883707552).

Almost surely, 230003746556 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 30003746556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42417962496).

30003746556 is an abundant number, since it is smaller than the sum of its proper divisors (54832178436).

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

30003746556 is a wasteful number, since it uses less digits than its factorization.

30003746556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29659 (or 29657 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 30003746556 in words is "thirty billion, three million, seven hundred forty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 727 1428 1454 2181 2908 4362 5089 8724 10178 12359 15267 20356 24718 28901 30534 37077 49436 57802 61068 74154 86513 86703 115604 148308 173026 173406 202307 259539 346052 346812 404614 491317 519078 606921 809228 982634 1038156 1213842 1473951 1965268 2427684 2947902 3439219 5895804 6878438 10317657 13756876 20635314 21011027 41270628 42022054 63033081 84044108 126066162 147077189 252132324 294154378 357187459 441231567 588308756 714374918 882463134 1071562377 1428749836 1764926268 2143124754 2500312213 4286249508 5000624426 7500936639 10001248852 15001873278 30003746556