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128140262600 = 23527252125097
BaseRepresentation
bin111011101010111000…
…0010011110011001000
3110020202022111210111212
41313111300103303020
54044412401400400
6134511122312252
712154302155300
oct1672560236310
9406668453455
10128140262600
114a386923979
1220a01ab8688
13c1117ca1bc
1462b84c2600
1534ee95a335
hex1dd5c13cc8

128140262600 has 144 divisors (see below), whose sum is σ = 347246139780. Its totient is φ = 43847731200.

The previous prime is 128140262597. The next prime is 128140262603. The reversal of 128140262600 is 6262041821.

It is an interprime number because it is at equal distance from previous prime (128140262597) and next prime (128140262603).

It can be written as a sum of positive squares in 6 ways, for example, as 21852526276 + 106287736324 = 147826^2 + 326018^2 .

It is not an unprimeable number, because it can be changed into a prime (128140262603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5093252 + ... + 5118348.

Almost surely, 2128140262600 is an apocalyptic number.

128140262600 is a gapful number since it is divisible by the number (10) 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 128140262600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173623069890).

128140262600 is an abundant number, since it is smaller than the sum of its proper divisors (219105877180).

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

128140262600 is a wasteful number, since it uses less digits than its factorization.

128140262600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648 (or 25632 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 128140262600 in words is "one hundred twenty-eight billion, one hundred forty million, two hundred sixty-two thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 521 700 980 1042 1225 1400 1960 2084 2450 2605 3647 4168 4900 5210 7294 9800 10420 13025 14588 18235 20840 25097 25529 26050 29176 36470 50194 51058 52100 72940 91175 100388 102116 104200 125485 127645 145880 175679 182350 200776 204232 250970 255290 351358 364700 501940 510580 627425 638225 702716 729400 878395 1003880 1021160 1229753 1254850 1276450 1405432 1756790 2459506 2509700 2552900 3513580 4391975 4919012 5019400 5105800 6148765 7027160 8783950 9838024 12297530 13075537 17567900 24595060 26151074 30743825 35135800 49190120 52302148 61487650 65377685 91528759 104604296 122975300 130755370 183057518 245950600 261510740 326888425 366115036 457643795 523021480 640701313 653776850 732230072 915287590 1281402626 1307553700 1830575180 2288218975 2562805252 2615107400 3203506565 3661150360 4576437950 5125610504 6407013130 9152875900 12814026260 16017532825 18305751800 25628052520 32035065650 64070131300 128140262600