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13065727488 = 293111276089
BaseRepresentation
bin11000010101100011…
…10010111000000000
31020201120110201121220
430022301302320000
5203224311234423
610000255515040
7641531564652
oct141261627000
936646421556
1013065727488
1155a52984a0
122647828a80
131302ba58c8
148bd3986d2
155170d69e3
hex30ac72e00

13065727488 has 160 divisors (see below), whose sum is σ = 38277550080. Its totient is φ = 3927490560.

The previous prime is 13065727471. The next prime is 13065727529. The reversal of 13065727488 is 88472756031.

It is a self number, because there is not a number n which added to its sum of digits gives 13065727488.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2142748 + ... + 2148836.

It is an arithmetic number, because the mean of its divisors is an integer number (239234688).

Almost surely, 213065727488 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 13065727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138775040).

13065727488 is an abundant number, since it is smaller than the sum of its proper divisors (25211822592).

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

13065727488 is a wasteful number, since it uses less digits than its factorization.

13065727488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 13065727488 in words is "thirteen billion, sixty-five million, seven hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 352 381 384 508 512 528 704 762 768 1016 1056 1397 1408 1524 1536 2032 2112 2794 2816 3048 4064 4191 4224 5588 5632 6089 6096 8128 8382 8448 11176 12178 12192 16256 16764 16896 18267 22352 24356 24384 32512 33528 36534 44704 48712 48768 65024 66979 67056 73068 89408 97424 97536 133958 134112 146136 178816 194848 195072 200937 267916 268224 292272 357632 389696 401874 535832 536448 584544 715264 773303 779392 803748 1071664 1072896 1169088 1546606 1558784 1607496 2143328 2145792 2319909 2338176 3093212 3117568 3214992 4286656 4639818 4676352 6186424 6429984 8506333 8573312 9279636 9352704 12372848 12859968 17012666 17146624 18559272 24745696 25518999 25719936 34025332 34293248 37118544 49491392 51037998 51439872 68050664 74237088 98982784 102075996 102879744 136101328 148474176 197965568 204151992 272202656 296948352 395931136 408303984 544405312 593896704 816607968 1088810624 1187793408 1633215936 2177621248 3266431872 4355242496 6532863744 13065727488