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30053315736 = 23332112232957
BaseRepresentation
bin11011111111010100…
…010011010010011000
32212120110121121211000
4123333110103102120
5443022122100421
621450054505000
72112514653213
oct337724232230
985513547730
1030053315736
1111822349a24
1259a8965160
132aac441782
14165156677a
15bad65b226
hex6ff513498

30053315736 has 128 divisors (see below), whose sum is σ = 84281702400. Its totient is φ = 9922227840.

The previous prime is 30053315711. The next prime is 30053315753. The reversal of 30053315736 is 63751335003.

30053315736 is a `hidden beast` number, since 3 + 0 + 0 + 53 + 31 + 573 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30053315736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10161970 + ... + 10164926.

It is an arithmetic number, because the mean of its divisors is an integer number (658450800).

Almost surely, 230053315736 is an apocalyptic number.

30053315736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30053315736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42140851200).

30053315736 is an abundant number, since it is smaller than the sum of its proper divisors (54228386664).

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

30053315736 is a wasteful number, since it uses less digits than its factorization.

30053315736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The spelling of 30053315736 in words is "thirty billion, fifty-three million, three hundred fifteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 223 422 446 633 669 844 892 1266 1338 1688 1784 1899 2007 2532 2676 2957 3798 4014 5064 5352 5697 5914 6021 7596 8028 8871 11394 11828 12042 15192 16056 17742 22788 23656 24084 26613 35484 45576 47053 48168 53226 70968 79839 94106 106452 141159 159678 188212 212904 282318 319356 376424 423477 564636 623927 638712 659411 846954 1129272 1247854 1270431 1318822 1693908 1871781 1978233 2495708 2540862 2637644 3387816 3743562 3956466 4991416 5081724 5275288 5615343 5934699 7487124 7912932 10163448 11230686 11869398 14974248 15825864 16846029 17804097 22461372 23738796 33692058 35608194 44922744 47477592 67384116 71216388 134768232 139135721 142432776 278271442 417407163 556542884 834814326 1113085768 1252221489 1669628652 2504442978 3339257304 3756664467 5008885956 7513328934 10017771912 15026657868 30053315736