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2480214944208 = 2437111350912653
BaseRepresentation
bin100100000101111000010…
…101001010100111010000
322210002212102222120222110
4210011320111022213100
5311113440011203313
65135221153505320
7344122016116131
oct44057025124720
98702772876873
102480214944208
1187694274a001
12340822b72240
1314cb636c4931
148808617dc88
15447b1ba1ec3
hex2417854a9d0

2480214944208 has 160 divisors (see below), whose sum is σ = 6568361383680. Its totient is φ = 806229975040.

The previous prime is 2480214944203. The next prime is 2480214944219. The reversal of 2480214944208 is 8024494120842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480214944203) by changing a digit.

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, 196011610 + ... + 196024262.

It is an arithmetic number, because the mean of its divisors is an integer number (41052258648).

Almost surely, 22480214944208 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 2480214944208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284180691840).

2480214944208 is an abundant number, since it is smaller than the sum of its proper divisors (4088146439472).

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

2480214944208 is a wasteful number, since it uses less digits than its factorization.

2480214944208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13351 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 2480214944208 in words is "two trillion, four hundred eighty billion, two hundred fourteen million, nine hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 113 142 213 226 284 339 426 452 509 568 678 852 904 1018 1136 1356 1527 1704 1808 2036 2712 3054 3408 4072 5424 6108 8023 8144 12216 12653 16046 24069 24432 25306 32092 36139 37959 48138 50612 57517 64184 72278 75918 96276 101224 108417 115034 128368 144556 151836 172551 192552 202448 216834 230068 289112 303672 345102 385104 433668 460136 578224 607344 690204 867336 898363 920272 1380408 1429789 1734672 1796726 2695089 2760816 2859578 3593452 4083707 4289367 5390178 5719156 6440377 7186904 8167414 8578734 10780356 11438312 12251121 12880754 14373808 16334828 17157468 19321131 21560712 22876624 24502242 25761508 32669656 34314936 38642262 43121424 49004484 51523016 65339312 68629872 77284524 98008968 101515019 103046032 154569048 196017936 203030038 304545057 309138096 406060076 457266767 609090114 727762601 812120152 914533534 1218180228 1371800301 1455525202 1624240304 1829067068 2183287803 2436360456 2743600602 2911050404 3658134136 4366575606 4872720912 5487201204 5822100808 7316268272 8733151212 10974402408 11644201616 17466302424 21948804816 34932604848 51671144671 103342289342 155013434013 206684578684 310026868026 413369157368 620053736052 826738314736 1240107472104 2480214944208