Search a number
-
+
645245563120 = 24517683694649
BaseRepresentation
bin10010110001110111010…
…00011111000011110000
32021200111021100210211021
421120323220133003300
541032430331004440
61212231031425224
764421533535524
oct11307350370360
92250437323737
10645245563120
11229713331874
12a5077525214
1348b006b9672
1423331395d84
1511bb711584a
hex963ba1f0f0

645245563120 has 80 divisors (see below), whose sum is σ = 1590770728800. Its totient is φ = 242559967232.

The previous prime is 645245563099. The next prime is 645245563163. The reversal of 645245563120 is 21365542546.

645245563120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581556 + ... + 1276204.

It is an arithmetic number, because the mean of its divisors is an integer number (19884634110).

Almost surely, 2645245563120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645245563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795385364400).

645245563120 is an abundant number, since it is smaller than the sum of its proper divisors (945525165680).

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

645245563120 is a wasteful number, since it uses less digits than its factorization.

645245563120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695362 (or 695356 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 645245563120 in words is "six hundred forty-five billion, two hundred forty-five million, five hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 683 1360 1366 2732 3415 5464 6830 10928 11611 13660 23222 27320 46444 54640 58055 92888 116110 185776 232220 464440 694649 928880 1389298 2778596 3473245 5557192 6946490 11114384 11809033 13892980 23618066 27785960 47236132 55571920 59045165 94472264 118090330 188944528 236180660 472361320 474445267 944722640 948890534 1897781068 2372226335 3795562136 4744452670 7591124272 8065569539 9488905340 16131139078 18977810680 32262278156 37955621360 40327847695 64524556312 80655695390 129049112624 161311390780 322622781560 645245563120