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13336169088 = 273118338039
BaseRepresentation
bin11000110101110010…
…11100101010000000
31021102102100120202110
430122321130222000
5204303024402323
610043200215320
7651324365304
oct143271345200
937372316673
1013336169088
115723a13250
12270230a540
131346c24718
14907275d04
15530c07793
hex31ae5ca80

13336169088 has 128 divisors (see below), whose sum is σ = 39111206400. Its totient is φ = 3992468480.

The previous prime is 13336169087. The next prime is 13336169089. The reversal of 13336169088 is 88096163331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13336169087) and next prime (13336169089).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13336169087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331573 + ... + 369611.

It is an arithmetic number, because the mean of its divisors is an integer number (305556300).

Almost surely, 213336169088 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 13336169088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19555603200).

13336169088 is an abundant number, since it is smaller than the sum of its proper divisors (25775037312).

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

13336169088 is a wasteful number, since it uses less digits than its factorization.

13336169088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38150 (or 38138 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13336169088 in words is "thirteen billion, three hundred thirty-six million, one hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 264 332 352 384 498 528 664 704 913 996 1056 1328 1408 1826 1992 2112 2656 2739 3652 3984 4224 5312 5478 7304 7968 10624 10956 14608 15936 21912 29216 31872 38039 43824 58432 76078 87648 114117 116864 152156 175296 228234 304312 350592 418429 456468 608624 836858 912936 1217248 1255287 1673716 1825872 2434496 2510574 3157237 3347432 3651744 4868992 5021148 6314474 6694864 7303488 9471711 10042296 12628948 13389728 14606976 18943422 20084592 25257896 26779456 34729607 37886844 40169184 50515792 53558912 69459214 75773688 80338368 101031584 104188821 138918428 151547376 160676736 202063168 208377642 277836856 303094752 404126336 416755284 555673712 606189504 833510568 1111347424 1212379008 1667021136 2222694848 3334042272 4445389696 6668084544 13336169088