Search a number
-
+
13207633095696 = 24313193832908627
BaseRepresentation
bin1100000000110010010001…
…0001110110110000010000
31201202122012122210122120220
43000030210101312300100
53212343213033030241
644031300342233040
72532135313654614
oct300144421666020
951678178718526
1013207633095696
114232364618746
121593889725780
1374a6224c6160
14339377b83344
1517d862cce166
hexc0324476c10

13207633095696 has 160 divisors (see below), whose sum is σ = 38779224637440. Its totient is φ = 3839944776192.

The previous prime is 13207633095673. The next prime is 13207633095703. The reversal of 13207633095696 is 69659033670231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086535 + ... + 5995161.

It is an arithmetic number, because the mean of its divisors is an integer number (242370153984).

Almost surely, 213207633095696 is an apocalyptic number.

13207633095696 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 13207633095696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389612318720).

13207633095696 is an abundant number, since it is smaller than the sum of its proper divisors (25571591541744).

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

13207633095696 is a wasteful number, since it uses less digits than its factorization.

13207633095696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909053 (or 2909047 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 60.

The spelling of 13207633095696 in words is "thirteen trillion, two hundred seven billion, six hundred thirty-three million, ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 383 456 494 624 741 766 912 988 1149 1482 1532 1976 2298 2964 3064 3952 4596 4979 5928 6128 7277 9192 9958 11856 14554 14937 18384 19916 21831 29108 29874 39832 43662 58216 59748 79664 87324 94601 116432 119496 174648 189202 238992 283803 349296 378404 567606 756808 1135212 1513616 2270424 2908627 4540848 5817254 8725881 11634508 17451762 23269016 34903524 37812151 46538032 55263913 69807048 75624302 110527826 113436453 139614096 151248604 165791739 221055652 226872906 302497208 331583478 442111304 453745812 604994416 663166956 718430869 884222608 907491624 1114004141 1326333912 1436861738 1814983248 2155292607 2228008282 2652667824 2873723476 3342012423 4310585214 4456016564 5747446952 6684024846 8621170428 8912033128 11494893904 13368049692 14482053833 17242340856 17824066256 21166078679 26736099384 28964107666 34484681712 42332157358 43446161499 53472198768 57928215332 63498236037 84664314716 86892322998 115856430664 126996472074 169328629432 173784645996 231712861328 253992944148 275159022827 338657258864 347569291992 507985888296 550318045654 695138583984 825477068481 1015971776592 1100636091308 1650954136962 2201272182616 3301908273924 4402544365232 6603816547848 13207633095696