Search a number
-
+
2264625646164 = 223375143758237
BaseRepresentation
bin100000111101000110001…
…101010000101001010100
322000111101122200111212000
4200331012031100221110
5244100423131134124
64452204334555300
7322420351245450
oct40750615205124
98014348614760
102264625646164
117a3471158512
12306a96668b30
1313572673a05b
147b8738b9660
153dd94d116c9
hex20f46350a54

2264625646164 has 96 divisors (see below), whose sum is σ = 6710247586560. Its totient is φ = 647012209536.

The previous prime is 2264625646147. The next prime is 2264625646207. The reversal of 2264625646164 is 4616465264622.

2264625646164 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 62 + 564 + 6 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2264625646164.

It is a congruent number.

It is an unprimeable number.

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, 38857254 + ... + 38915490.

It is an arithmetic number, because the mean of its divisors is an integer number (69898412360).

Almost surely, 22264625646164 is an apocalyptic number.

It is an amenable number.

2264625646164 is an abundant number, since it is smaller than the sum of its proper divisors (4445621940396).

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

2264625646164 is a wasteful number, since it uses less digits than its factorization.

2264625646164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109694 (or 109686 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 2264625646164 in words is "two trillion, two hundred sixty-four billion, six hundred twenty-five million, six hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 51437 58237 102874 116474 154311 174711 205748 232948 308622 349422 360059 407659 462933 524133 617244 698844 720118 815318 925866 1048266 1080177 1222977 1388799 1440236 1572399 1630636 1851732 2096532 2160354 2445954 2777598 3144798 3240531 3668931 4320708 4891908 5555196 6289596 6481062 7337862 9721593 11006793 12962124 14675724 19443186 22013586 38886372 44027172 2995536569 5991073138 8986609707 11982146276 17973219414 20968755983 26959829121 35946438828 41937511966 53919658242 62906267949 80879487363 83875023932 107839316484 125812535898 161758974726 188718803847 251625071796 323517949452 377437607694 566156411541 754875215388 1132312823082 2264625646164