Search a number
-
+
10406802645 = 345191638297
BaseRepresentation
bin10011011000100101…
…10011010011010101
3222212021020100110000
421230102303103111
5132303120141040
64440353521513
7515614235331
oct115422632325
928767210400
1010406802645
114460406948
122025273299
13c9b0711b5
1470a1b87c1
1540d967130
hex26c4b34d5

10406802645 has 80 divisors (see below), whose sum is σ = 19759861440. Its totient is φ = 5225285376.

The previous prime is 10406802587. The next prime is 10406802647. The reversal of 10406802645 is 54620860401.

10406802645 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 8 + 0 + 2 + 645 = 666.

10406802645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10406802645 - 216 = 10406737109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406802647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1250137 + ... + 1258433.

It is an arithmetic number, because the mean of its divisors is an integer number (246998268).

Almost surely, 210406802645 is an apocalyptic number.

10406802645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10406802645 is a deficient number, since it is larger than the sum of its proper divisors (9353058795).

10406802645 is a wasteful number, since it uses less digits than its factorization.

10406802645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10406802645 in words is "ten billion, four hundred six million, eight hundred two thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 163 171 285 405 489 513 815 855 1467 1539 2445 2565 3097 4401 7335 7695 8297 9291 13203 15485 22005 24891 27873 41485 46455 66015 74673 83619 124455 139365 157643 224019 250857 373365 418095 472929 672057 788215 1120095 1254285 1352411 1418787 2364645 3360285 4057233 4256361 6762055 7093935 12171699 12769083 20286165 21281805 25695809 36515097 60858495 63845415 77087427 109545291 128479045 182575485 231262281 385437135 547726455 693786843 1156311405 2081360529 3468934215 10406802645