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12161335545 = 345833311093
BaseRepresentation
bin10110101001101111…
…10100000011111001
31011101112200212010000
423110313310003321
5144401300214140
65330431343213
7610240434522
oct132467640371
934345625100
1012161335545
115180836437
122434981b09
1311ba702148
14835217849
154b29dda30
hex2d4df40f9

12161335545 has 80 divisors (see below), whose sum is σ = 22149876672. Its totient is φ = 6382696320.

The previous prime is 12161335531. The next prime is 12161335553. The reversal of 12161335545 is 54553316121.

12161335545 is a `hidden beast` number, since 1 + 2 + 1 + 613 + 35 + 5 + 4 + 5 = 666.

It is not a de Polignac number, because 12161335545 - 212 = 12161331449 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11126019 + ... + 11127111.

Almost surely, 212161335545 is an apocalyptic number.

12161335545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12161335545 is a deficient number, since it is larger than the sum of its proper divisors (9988541127).

12161335545 is a wasteful number, since it uses less digits than its factorization.

12161335545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 12161335545 in words is "twelve billion, one hundred sixty-one million, three hundred thirty-five thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 83 135 249 331 405 415 747 993 1093 1245 1655 2241 2979 3279 3735 4965 5465 6723 8937 9837 11205 14895 16395 26811 27473 29511 33615 44685 49185 82419 88533 90719 134055 137365 147555 247257 272157 361783 412095 442665 453595 741771 816471 1085349 1236285 1360785 1808915 2225313 2449413 3256047 3708855 4082355 5426745 7348239 9768141 11126565 12247065 16280235 29304423 30027989 36741195 48840705 90083967 146522115 150139945 270251901 450419835 810755703 1351259505 2432267109 4053778515 12161335545