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628486920240 = 2435191170111779
BaseRepresentation
bin10010010010101001011…
…11010101100000110000
32020002020100000112122020
421021110233111200300
540244120122421430
61200420051511440
763256330451424
oct11112457254060
92202210015566
10628486920240
112225a3533393
12a197abb8580
134735c700a2a
14225c1782b84
1511535c16b10
hex9254bd5830

628486920240 has 160 divisors (see below), whose sum is σ = 2051201452800. Its totient is φ = 158748595200.

The previous prime is 628486920239. The next prime is 628486920247. The reversal of 628486920240 is 42029684826.

It is not an unprimeable number, because it can be changed into a prime (628486920247) 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, 53350671 + ... + 53362449.

It is an arithmetic number, because the mean of its divisors is an integer number (12820009080).

Almost surely, 2628486920240 is an apocalyptic number.

628486920240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628486920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025600726400).

628486920240 is an abundant number, since it is smaller than the sum of its proper divisors (1422714532560).

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

628486920240 is a wasteful number, since it uses less digits than its factorization.

628486920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515 (or 23509 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 628486920240 in words is "six hundred twenty-eight billion, four hundred eighty-six million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 11701 11779 23402 23558 35103 35337 46804 47116 58505 58895 70206 70674 93608 94232 117010 117790 140412 141348 175515 176685 187216 188464 222319 223801 234020 235580 280824 282696 351030 353370 444638 447602 468040 471160 561648 565392 666957 671403 702060 706740 889276 895204 936080 942320 1111595 1119005 1333914 1342806 1404120 1413480 1778552 1790408 2223190 2238010 2667828 2685612 2808240 2826960 3334785 3357015 3557104 3580816 4446380 4476020 5335656 5371224 6669570 6714030 8892760 8952040 10671312 10742448 13339140 13428060 17785520 17904080 26678280 26856120 53356560 53712240 137826079 275652158 413478237 551304316 689130395 826956474 1102608632 1378260790 1653912948 2067391185 2205217264 2618695501 2756521580 3307825896 4134782370 5237391002 5513043160 6615651792 7856086503 8269564740 10474782004 11026086320 13093477505 15712173006 16539129480 20949564008 26186955010 31424346012 33078258960 39280432515 41899128016 52373910020 62848692024 78560865030 104747820040 125697384048 157121730060 209495640080 314243460120 628486920240