Search a number
-
+
65164646001 = 37131096613313
BaseRepresentation
bin111100101100000111…
…011001011001110001
320020012102210000011110
4330230013121121301
52031424122133001
645534120303533
74464561231450
oct745407313161
9206172700143
1065164646001
11256aa820044
1210767611ba9
1361b6745140
143222772b97
151a65d7d3d6
hexf2c1d9671

65164646001 has 64 divisors (see below), whose sum is σ = 108113815040. Its totient is φ = 33995427840.

The previous prime is 65164645999. The next prime is 65164646021. The reversal of 65164646001 is 10064646156.

It is a happy number.

It is not a de Polignac number, because 65164646001 - 21 = 65164645999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (65164646021) 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 63 ways as a sum of consecutive naturals, for example, 19667721 + ... + 19671033.

It is an arithmetic number, because the mean of its divisors is an integer number (1689278360).

Almost surely, 265164646001 is an apocalyptic number.

It is an amenable number.

65164646001 is a deficient number, since it is larger than the sum of its proper divisors (42949169039).

65164646001 is a wasteful number, since it uses less digits than its factorization.

65164646001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 65164646001 in words is "sixty-five billion, one hundred sixty-four million, six hundred forty-six thousand, one".

Divisors: 1 3 7 13 21 39 91 109 273 327 661 763 1417 1983 2289 3313 4251 4627 8593 9919 9939 13881 23191 25779 29757 43069 60151 69573 72049 129207 180453 216147 301483 361117 504343 904449 936637 1083351 1513029 2189893 2527819 2809911 4694521 6556459 6569679 7583457 14083563 15329251 19669377 28468609 32861647 45987753 85405827 98584941 199280263 238698337 597840789 716095011 1670888359 3103078381 5012665077 9309235143 21721548667 65164646001