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13133023536 = 2434373101863
BaseRepresentation
bin11000011101100101…
…00000100100110000
31020220021002201110010
430032302200210300
5203344023223121
610011102134520
7643306600233
oct141662404460
936807081403
1013133023536
11562a281a66
122666281440
131313b08759
148c82b541a
1551ce7b376
hex30eca0930

13133023536 has 160 divisors (see below), whose sum is σ = 35581151232. Its totient is φ = 4170700800.

The previous prime is 13133023523. The next prime is 13133023537. The reversal of 13133023536 is 63532033131.

It is not an unprimeable number, because it can be changed into a prime (13133023537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15217441 + ... + 15218303.

Almost surely, 213133023536 is an apocalyptic number.

13133023536 is a gapful number since it is divisible by the number (16) 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 13133023536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790575616).

13133023536 is an abundant number, since it is smaller than the sum of its proper divisors (22448127696).

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

13133023536 is a wasteful number, since it uses less digits than its factorization.

13133023536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

Adding to 13133023536 its reverse (63532033131), we get a palindrome (76665056667).

The spelling of 13133023536 in words is "thirteen billion, one hundred thirty-three million, twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 73 86 101 129 146 172 202 219 258 292 303 344 404 438 516 584 606 688 808 863 876 1032 1168 1212 1616 1726 1752 2064 2424 2589 3139 3452 3504 4343 4848 5178 6278 6904 7373 8686 9417 10356 12556 13029 13808 14746 17372 18834 20712 22119 25112 26058 29492 34744 37109 37668 41424 44238 50224 52116 58984 62999 69488 74218 75336 87163 88476 104232 111327 117968 125998 148436 150672 174326 176952 188997 208464 222654 251996 261489 296872 317039 348652 353904 377994 445308 503992 522978 593744 634078 697304 755988 890616 951117 1007984 1045956 1268156 1394608 1511976 1781232 1902234 2091912 2536312 2708957 3023952 3748009 3804468 4183824 5072624 5417914 6362899 7496018 7608936 8126871 10835828 11244027 12725798 14992036 15217872 16253742 19088697 21671656 22488054 25451596 29984072 32507484 38177394 43343312 44976108 50903192 59968144 65014968 76354788 89952216 101806384 130029936 152709576 179904432 273604657 305419152 547209314 820813971 1094418628 1641627942 2188837256 3283255884 4377674512 6566511768 13133023536