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11088144407868 = 223111271627406531
BaseRepresentation
bin1010000101011010100011…
…1010001001110100111100
31110021000102211220112120020
42201112220322021310330
52423132004432022433
635325453452052140
72223043361244303
oct241265072116474
943230384815506
1011088144407868
1135955014a6190
1212b0b59164050
136257b8990708
142a4951c4943a
15143664b9acb3
hexa15a8e89d3c

11088144407868 has 96 divisors (see below), whose sum is σ = 28464160800768. Its totient is φ = 3331529611200.

The previous prime is 11088144407789. The next prime is 11088144407939. The reversal of 11088144407868 is 86870444188011.

It is a happy number.

It is a congruent 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, 27071763 + ... + 27478293.

It is an arithmetic number, because the mean of its divisors is an integer number (296501675008).

Almost surely, 211088144407868 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 11088144407868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232080400384).

11088144407868 is an abundant number, since it is smaller than the sum of its proper divisors (17376016392900).

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

11088144407868 is a wasteful number, since it uses less digits than its factorization.

11088144407868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408303 (or 408301 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 60.

The spelling of 11088144407868 in words is "eleven trillion, eighty-eight billion, one hundred forty-four million, four hundred seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 1627 2794 3254 4191 4881 5588 6508 8382 9762 16764 17897 19524 35794 53691 71588 107382 206629 214764 406531 413258 619887 813062 826516 1219593 1239774 1626124 2272919 2439186 2479548 4471841 4545838 4878372 6818757 8943682 9091676 13415523 13637514 17887364 26831046 27275028 51629437 53662092 103258874 154888311 206517748 309776622 567923807 619553244 661425937 1135847614 1322851874 1703771421 1984277811 2271695228 2645703748 3407542842 3968555622 6815085684 7275685307 7937111244 14551370614 21827055921 29102741228 43654111842 84001093999 87308223684 168002187998 252003281997 336004375996 504006563994 924012033989 1008013127988 1848024067978 2772036101967 3696048135956 5544072203934 11088144407868