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628148211200 = 2952197249107
BaseRepresentation
bin10010010010000001000…
…11010000111000000000
32020001100201200100011222
421021000203100320000
540242421420224300
61200322312054212
763245045461466
oct11110043207000
92201321610158
10628148211200
1122243a320264
12a18a5694368
134730749bb93
142258c7b4836
151151610d785
hex92408d0e00

628148211200 has 120 divisors (see below), whose sum is σ = 1564192476792. Its totient is φ = 249982853120.

The previous prime is 628148211191. The next prime is 628148211259. The reversal of 628148211200 is 2112841826.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2397047 + ... + 2646153.

Almost surely, 2628148211200 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 628148211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782096238396).

628148211200 is an abundant number, since it is smaller than the sum of its proper divisors (936044265592).

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

628148211200 is a wasteful number, since it uses less digits than its factorization.

628148211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249332 (or 249311 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 628148211200 in words is "six hundred twenty-eight billion, one hundred forty-eight million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 197 200 256 320 394 400 512 640 788 800 985 1280 1576 1600 1970 2560 3152 3200 3940 4925 6304 6400 7880 9850 12608 12800 15760 19700 25216 31520 39400 50432 63040 78800 100864 126080 157600 249107 252160 315200 498214 504320 630400 996428 1245535 1260800 1992856 2491070 2521600 3985712 4982140 6227675 7971424 9964280 12455350 15942848 19928560 24910700 31885696 39857120 49074079 49821400 63771392 79714240 98148158 99642800 127542784 159428480 196296316 199285600 245370395 318856960 392592632 398571200 490740790 637713920 785185264 797142400 981481580 1226851975 1570370528 1594284800 1962963160 2453703950 3140741056 3188569600 3925926320 4907407900 6281482112 7851852640 9814815800 12562964224 15703705280 19629631600 25125928448 31407410560 39259263200 62814821120 78518526400 125629642240 157037052800 314074105600 628148211200