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5110560606006 = 23217277261723039
BaseRepresentation
bin100101001011110010100…
…1001100100011100110110
3200002120020202101211122200
41022113211021210130312
51132212412003343011
614511431550005330
71035140312256342
oct112274511443466
920076222354580
105110560606006
1116a0416259219
126a65644a6846
132b0c01775cab
141394d11ba622
158ce0db54856
hex4a5e5264736

5110560606006 has 96 divisors (see below), whose sum is σ = 11771560120320. Its totient is φ = 1596845242368.

The previous prime is 5110560605957. The next prime is 5110560606007. The reversal of 5110560606006 is 6006060650115.

It is a super-2 number, since 2×51105606060062 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110560606007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221810635 + ... + 221833673.

It is an arithmetic number, because the mean of its divisors is an integer number (122620417920).

Almost surely, 25110560606006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110560606006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885780060160).

5110560606006 is an abundant number, since it is smaller than the sum of its proper divisors (6660999514314).

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

5110560606006 is a wasteful number, since it uses less digits than its factorization.

5110560606006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25958 (or 25955 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5110560606006 in words is "five trillion, one hundred ten billion, five hundred sixty million, six hundred six thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 277 306 554 831 1662 2493 2617 4709 4986 5234 7851 9418 14127 15702 23039 23553 28254 42381 44489 46078 47106 69117 84762 88978 133467 138234 207351 266934 391663 400401 414702 724909 783326 800802 1174989 1449818 2174727 2349978 3524967 4349454 6381803 6524181 7049934 12323453 12763606 13048362 19145409 24646906 36970359 38290818 57436227 60293063 73940718 108490651 110911077 114872454 120586126 180879189 216981302 221822154 325471953 361758378 542637567 650943906 976415859 1024982071 1085275134 1952831718 2049964142 3074946213 6149892426 9224838639 16701178451 18449677278 33402356902 50103535353 100207070706 150310606059 283920033667 300621212118 567840067334 851760101001 1703520202002 2555280303003 5110560606006