Search a number
-
+
108406403104365 = 32529100937822989
BaseRepresentation
bin11000101001100001010101…
…001001011111111001101101
3112012211112212121211201001100
4120221201111021133321231
5103202112303143314430
61022321114123433313
731556050504432332
oct3051412511377155
9465745777751040
10108406403104365
11315a59964488a3
12101a9a79085839
1348648abb01792
141caac7dbd4989
15c7ed7533e960
hex62985525fe6d

108406403104365 has 48 divisors (see below), whose sum is σ = 194386057210800. Its totient is φ = 55822446468096.

The previous prime is 108406403104319. The next prime is 108406403104367. The reversal of 108406403104365 is 563401304604801.

108406403104365 is a `hidden beast` number, since 1 + 0 + 84 + 0 + 6 + 403 + 104 + 3 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6532384557609 + 101874018546756 = 2555853^2 + 10093266^2 .

It is not a de Polignac number, because 108406403104365 - 211 = 108406403102317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 108406403104365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108406403104367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131311291 + ... + 132134279.

It is an arithmetic number, because the mean of its divisors is an integer number (4049709525225).

Almost surely, 2108406403104365 is an apocalyptic number.

108406403104365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108406403104365 is a deficient number, since it is larger than the sum of its proper divisors (85979654106435).

108406403104365 is a wasteful number, since it uses less digits than its factorization.

108406403104365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923966 (or 923963 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 108406403104365 in words is "one hundred eight trillion, four hundred six billion, four hundred three million, one hundred four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 100937 302811 504685 822989 908433 1514055 2468967 2927173 4114945 4542165 7406901 8781519 12344835 14635865 23866681 26344557 37034505 43907595 71600043 119333405 131722785 214800129 358000215 1074000645 83070040693 249210122079 415350203465 747630366237 1246050610395 2409031180097 3738151831185 7227093540291 12045155900485 21681280620873 36135467701455 108406403104365