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128316204168021 = 3429197277288757
BaseRepresentation
bin11101001011001111110001…
…110001001011001101010101
3121211022220112220002111020000
4131023033301301023031111
5113304313041231334041
61132523352253401513
736012353105243322
oct3513176161131525
9554286486074200
10128316204168021
1137981662068a41
1212484659199299
13567a220cbc11c
14239877496bb49
15ec7beb64ebb6
hex74b3f1c4b355

128316204168021 has 40 divisors (see below), whose sum is σ = 199298521924920. Its totient is φ = 82175077418112.

The previous prime is 128316204167999. The next prime is 128316204168023. The reversal of 128316204168021 is 120861402613821.

128316204168021 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 1 + 620 + 4 + 16 + 8 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94299151100625 + 34017053067396 = 9710775^2 + 5832414^2 .

It is not a de Polignac number, because 128316204168021 - 25 = 128316204167989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128316204168023) 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, 138181626 + ... + 139107131.

It is an arithmetic number, because the mean of its divisors is an integer number (4982463048123).

Almost surely, 2128316204168021 is an apocalyptic number.

It is an amenable number.

128316204168021 is a deficient number, since it is larger than the sum of its proper divisors (70982317756899).

128316204168021 is a wasteful number, since it uses less digits than its factorization.

128316204168021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277288995 (or 277288986 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 128316204168021 in words is "one hundred twenty-eight trillion, three hundred sixteen billion, two hundred four million, one hundred sixty-eight thousand, twenty-one".

Divisors: 1 3 9 27 29 81 87 197 261 591 783 1773 2349 5319 5713 15957 17139 51417 154251 462753 277288757 831866271 2495598813 7486796439 8041373953 22460389317 24124121859 54625885129 72372365577 163877655387 217117096731 491632966161 651351290193 1474898898483 1584150668741 4424696695449 4752452006223 14257356018669 42772068056007 128316204168021