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117635023104 = 283477014649
BaseRepresentation
bin110110110001110011…
…0000000000100000000
3102020122012001100002120
41231203212000010000
53411404031214404
6130012450444240
711333051125014
oct1554346000400
9366565040076
10117635023104
11459859a3a65
121a96b893680
13b129241b61
14599d202544
1530d754b9d9
hex1b63980100

117635023104 has 144 divisors (see below), whose sum is σ = 320267001600. Its totient is φ = 38314393600.

The previous prime is 117635023087. The next prime is 117635023123. The reversal of 117635023104 is 401320536711.

It is a super-2 number, since 2×1176350231042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25300972 + ... + 25305620.

It is an arithmetic number, because the mean of its divisors is an integer number (2224076400).

Almost surely, 2117635023104 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 117635023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160133500800).

117635023104 is an abundant number, since it is smaller than the sum of its proper divisors (202631978496).

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

117635023104 is an equidigital number, since it uses as much as digits as its factorization.

117635023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 117635023104 its reverse (401320536711), we get a palindrome (518955559815).

The spelling of 117635023104 in words is "one hundred seventeen billion, six hundred thirty-five million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 701 752 768 1128 1402 1504 2103 2256 2804 3008 4206 4512 4649 5608 6016 8412 9024 9298 11216 12032 13947 16824 18048 18596 22432 27894 32947 33648 36096 37192 44864 55788 65894 67296 74384 89728 98841 111576 131788 134592 148768 179456 197682 218503 223152 263576 269184 297536 395364 437006 446304 527152 538368 595072 655509 790728 874012 892608 1054304 1190144 1311018 1581456 1748024 1785216 2108608 2622036 3162912 3258949 3496048 3570432 4217216 5244072 6325824 6517898 6992096 8434432 9776847 10488144 12651648 13035796 13984192 19553694 20976288 25303296 26071592 27968384 39107388 41952576 52143184 55936768 78214776 83905152 104286368 153170603 156429552 167810304 208572736 306341206 312859104 417145472 459511809 612682412 625718208 834290944 919023618 1225364824 1251436416 1838047236 2450729648 2502872832 3676094472 4901459296 7352188944 9802918592 14704377888 19605837184 29408755776 39211674368 58817511552 117635023104