Search a number
-
+
640652332543506 = 23323977017585969
BaseRepresentation
bin1001000110101010110111111…
…0101101001010111000010010
310010000100202122120120220022000
42101222231332231022320102
51132432421434112343011
610150315341335054430
7251641414013420103
oct22152557655127022
93100322576526260
10640652332543506
1117614a145a49068
125ba2a869b11416
1321662342acc35a
14b42ba4a01c3aa
154e0ec8629b356
hex246ab7eb4ae12

640652332543506 has 128 divisors (see below), whose sum is σ = 1503027049305600. Its totient is φ = 201871711641600.

The previous prime is 640652332543481. The next prime is 640652332543537. The reversal of 640652332543506 is 605345233256046.

640652332543506 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 5 + 2 + 33 + 254 + 350 + 6 = 666.

It is a super-2 number, since 2×6406523325435062 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80659290 + ... + 88245258.

It is an arithmetic number, because the mean of its divisors is an integer number (11742398822700).

Almost surely, 2640652332543506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640652332543506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751513524652800).

640652332543506 is an abundant number, since it is smaller than the sum of its proper divisors (862374716762094).

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

640652332543506 is a wasteful number, since it uses less digits than its factorization.

640652332543506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586801 (or 7586795 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 54.

The spelling of 640652332543506 in words is "six hundred forty trillion, six hundred fifty-two billion, three hundred thirty-two million, five hundred forty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 97 138 194 207 291 414 582 621 701 873 1242 1402 1746 2103 2231 2619 4206 4462 5238 6309 6693 12618 13386 16123 18927 20079 32246 37854 40158 48369 60237 67997 96738 120474 135994 145107 203991 290214 407982 435321 611973 870642 1223946 1563931 1835919 3127862 3671838 4691793 7585969 9383586 14075379 15171938 22757907 28150758 42226137 45515814 68273721 84452274 136547442 174477287 204821163 348954574 409642326 523431861 735838993 1046863722 1471677986 1570295583 2207516979 3140591166 4415033958 4710886749 5317764269 6622550937 9421773498 10635528538 13245101874 15953292807 16924296839 19867652811 31906585614 33848593678 39735305622 47859878421 50772890517 95719756842 101545781034 122308578187 143579635263 152318671551 244617156374 287159270526 304637343102 366925734561 456956014653 515823134093 733851469122 913912029306 1031646268186 1100777203683 1547469402279 2201554407366 3094938804558 3302331611049 4642408206837 6604663222098 9284816413674 11863932084139 13927224620511 23727864168278 27854449241022 35591796252417 71183592504834 106775388757251 213550777514502 320326166271753 640652332543506