Search a number
-
+
1866374710164 = 223261291532
BaseRepresentation
bin11011001010001100100…
…110100000001110010100
320121102102212021210121100
4123022030212200032110
5221034313411211124
63545222315150100
7251561335165416
oct33121446401624
96542385253540
101866374710164
1165a58595a858
12261871145330
13106cc9596633
1466493b309b6
1533836c5e1c9
hex1b28c9a0394

1866374710164 has 54 divisors (see below), whose sum is σ = 4795285668446. Its totient is φ = 611905144320.

The previous prime is 1866374710163. The next prime is 1866374710177. The reversal of 1866374710164 is 4610174736681.

1866374710164 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 3 + 7 + 471 + 0 + 164 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 544201290000 + 1322173420164 = 737700^2 + 1149858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1866374710164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866374710163) 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 17 ways as a sum of consecutive naturals, for example, 64005412 + ... + 64034564.

Almost surely, 21866374710164 is an apocalyptic number.

It is an amenable number.

1866374710164 is an abundant number, since it is smaller than the sum of its proper divisors (2928910958282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1866374710164 is an frugal number, since it uses more digits than its factorization.

1866374710164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58377 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1866374710164 in words is "one trillion, eight hundred sixty-six billion, three hundred seventy-four million, seven hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 29153 58306 87459 116612 174918 262377 349836 524754 1049508 1778333 3556666 5334999 7113332 10669998 16004997 21339996 32009994 64019988 849897409 1699794818 2549692227 3399589636 5099384454 7649076681 10198768908 15298153362 30596306724 51843741949 103687483898 155531225847 207374967796 311062451694 466593677541 622124903388 933187355082 1866374710164