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1347793338168 = 23344150999949
BaseRepresentation
bin10011100111001110101…
…111100011111100111000
311202211220000221120220000
4103213032233203330320
5134040240043310133
62511100120433000
7166242401230614
oct23471657437470
94684800846800
101347793338168
1147a661225582
12199265318760
139a1339424b4
144933abc6344
15250d4bd4413
hex139cebe3f38

1347793338168 has 160 divisors (see below), whose sum is σ = 3868291350000. Its totient is φ = 438176770560.

The previous prime is 1347793338161. The next prime is 1347793338187. The reversal of 1347793338168 is 8618333977431.

It is a happy number.

1347793338168 is a `hidden beast` number, since 1 + 347 + 79 + 33 + 38 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347793338161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135465258 + ... + 135475206.

Almost surely, 21347793338168 is an apocalyptic number.

1347793338168 is a gapful number since it is divisible by the number (18) 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 1347793338168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934145675000).

1347793338168 is an abundant number, since it is smaller than the sum of its proper divisors (2520498011832).

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

1347793338168 is a wasteful number, since it uses less digits than its factorization.

1347793338168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15107 (or 15094 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 1347793338168 in words is "one trillion, three hundred forty-seven billion, seven hundred ninety-three million, three hundred thirty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 5099 6642 8856 9949 10198 13284 15297 19898 20396 26568 29847 30594 39796 40792 45891 59694 61188 79592 89541 91782 119388 122376 137673 179082 183564 209059 238776 268623 275346 358164 367128 407909 413019 418118 537246 550692 627177 716328 805869 815818 826038 836236 1074492 1101384 1223727 1254354 1611738 1631636 1652076 1672472 1881531 2148984 2447454 2508708 3223476 3263272 3304152 3671181 3763062 4894908 5017416 5644593 6446952 7342362 7526124 9789816 11013543 11289186 14684724 15052248 16933779 22027086 22578372 29369448 33040629 33867558 44054172 45156744 50729951 66081258 67735116 88108344 101459902 132162516 135470232 152189853 202919804 264325032 304379706 405839608 456569559 608759412 913139118 1217518824 1369708677 1826278236 2079927991 2739417354 3652556472 4109126031 4159855982 5478834708 6239783973 8218252062 8319711964 10957669416 12479567946 16436504124 16639423928 18719351919 24959135892 32873008248 37438703838 49918271784 56158055757 74877407676 112316111514 149754815352 168474167271 224632223028 336948334542 449264446056 673896669084 1347793338168