Search a number
-
+
164130961455 = 32573137364699
BaseRepresentation
bin1001100011011011110…
…1111011100000101111
3120200122120100201210100
42120312331323200233
510142120011231310
6203222320042143
714600214103416
oct2306675734057
9520576321710
10164130961455
116367571569a
1227987163353
1312629052606
147d303d847d
154409480ec0
hex2636f7b82f

164130961455 has 48 divisors (see below), whose sum is σ = 290496679200. Its totient is φ = 85706947584.

The previous prime is 164130961451. The next prime is 164130961459. The reversal of 164130961455 is 554169031461.

164130961455 is a `hidden beast` number, since 1 + 6 + 4 + 130 + 9 + 61 + 455 = 666.

It is an interprime number because it is at equal distance from previous prime (164130961451) and next prime (164130961459).

It is not a de Polignac number, because 164130961455 - 22 = 164130961451 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 164130961455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164130961451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267696 + ... + 632394.

It is an arithmetic number, because the mean of its divisors is an integer number (6052014150).

Almost surely, 2164130961455 is an apocalyptic number.

164130961455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164130961455 is a deficient number, since it is larger than the sum of its proper divisors (126365717745).

164130961455 is a wasteful number, since it uses less digits than its factorization.

164130961455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364920 (or 364917 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 164130961455 in words is "one hundred sixty-four billion, one hundred thirty million, nine hundred sixty-one thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 45 73 137 219 365 411 657 685 1095 1233 2055 3285 6165 10001 30003 50005 90009 150015 364699 450045 1094097 1823495 3282291 5470485 16411455 26623027 49963763 79869081 133115135 149891289 239607243 249818815 399345405 449673867 749456445 1198036215 2248369335 3647354699 10942064097 18236773495 32826192291 54710320485 164130961455