Search a number
-
+
1705640000163 = 3111311861721193
BaseRepresentation
bin11000110100100000000…
…100001111101010100011
320001001112222120111221220
4120310200010033222203
5210421122320001123
63343321000350123
7234141230534511
oct30644004175243
96031488514856
101705640000163
115a83a3350150
12236693475343
13c4ac2056888
145c7a68094b1
152e57aa44ce3
hex18d2010faa3

1705640000163 has 32 divisors (see below), whose sum is σ = 2500121555712. Its totient is φ = 1025726707200.

The previous prime is 1705640000153. The next prime is 1705640000173. The reversal of 1705640000163 is 3610000465071.

It is an interprime number because it is at equal distance from previous prime (1705640000153) and next prime (1705640000173).

It is not a de Polignac number, because 1705640000163 - 217 = 1705639869091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1705640000153) 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 31 ways as a sum of consecutive naturals, for example, 80470695 + ... + 80491887.

It is an arithmetic number, because the mean of its divisors is an integer number (78128798616).

Almost surely, 21705640000163 is an apocalyptic number.

1705640000163 is a deficient number, since it is larger than the sum of its proper divisors (794481555549).

1705640000163 is a wasteful number, since it uses less digits than its factorization.

1705640000163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39955.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 1705640000163 in words is "one trillion, seven hundred five billion, six hundred forty million, one hundred sixty-three", and thus it is an aban number.

Divisors: 1 3 11 33 131 393 1441 4323 18617 21193 55851 63579 204787 233123 614361 699369 2438827 2776283 7316481 8328849 26827097 30539113 80481291 91617339 394550081 1183650243 4340050891 13020152673 51686060611 155058181833 568546666721 1705640000163