Search a number
-
+
146841058611513 = 32717197913991183
BaseRepresentation
bin100001011000110100011001…
…001000110001000100111001
3201020220212102211221101222100
4201120310121020301010321
5123221320442001032023
61240145503455014013
742633626215036110
oct4130643110610471
9636825384841870
10146841058611513
1142873a414a1982
121457694550a309
1363c208b1bb556
142839206456c77
1511e9a1615ac43
hex858d19231139

146841058611513 has 96 divisors (see below), whose sum is σ = 270178337894400. Its totient is φ = 74815084850688.

The previous prime is 146841058611491. The next prime is 146841058611521. The reversal of 146841058611513 is 315116850148641.

146841058611513 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 4 + 1 + 0 + 5 + 8 + 611 + 5 + 13 = 666.

It is not a de Polignac number, because 146841058611513 - 213 = 146841058603321 is a prime.

It is a super-2 number, since 2×1468410586115132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146841058611513.

It is not an unprimeable number, because it can be changed into a prime (146841058611523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1610353920 + ... + 1610445102.

It is an arithmetic number, because the mean of its divisors is an integer number (2814357686400).

Almost surely, 2146841058611513 is an apocalyptic number.

It is an amenable number.

146841058611513 is a deficient number, since it is larger than the sum of its proper divisors (123337279282887).

146841058611513 is a wasteful number, since it uses less digits than its factorization.

146841058611513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170371 (or 170368 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 146841058611513 in words is "one hundred forty-six trillion, eight hundred forty-one billion, fifty-eight million, six hundred eleven thousand, five hundred thirteen".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 1071 1197 2261 2907 6783 20349 79139 91183 237417 273549 553973 638281 712251 820647 1345363 1503641 1550111 1661919 1732477 1914843 4036089 4510923 4650333 4985757 5197431 5744529 9417541 10525487 10850777 12108267 12127339 13532769 13950999 15592293 25561897 28252623 29452109 31576461 32552331 36382017 76685691 84757869 88356327 94729383 97656993 109146051 178933279 206164763 230057073 265068981 536799837 618494289 1610399511 1855482867 7216131437 21648394311 50512920059 64945182933 122674234429 137106497303 151538760177 368022703287 411319491909 454616280531 858719641003 959745481121 1104068109861 1233958475727 2330810454151 2576158923009 2879236443363 6992431362453 7728476769027 8637709330089 16315673179057 20977294087359 48947019537171 146841058611513