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57755202000 = 2435335926813
BaseRepresentation
bin110101110010011110…
…100111000111010000
312112002001121020210120
4311302132213013100
51421240312431000
642310554230240
74113141055056
oct656236470720
9175061536716
1057755202000
1122548340101
12b23a125380
1355a5672152
142b1c6b41d6
1517806376a0
hexd727a71d0

57755202000 has 160 divisors (see below), whose sum is σ = 186728405760. Its totient is φ = 15357913600.

The previous prime is 57755201971. The next prime is 57755202007. The reversal of 57755202000 is 20255775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57755202007) 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 31 ways as a sum of consecutive naturals, for example, 2140594 + ... + 2167406.

It is an arithmetic number, because the mean of its divisors is an integer number (1167052536).

Almost surely, 257755202000 is an apocalyptic number.

57755202000 is a gapful number since it is divisible by the number (50) 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 57755202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93364202880).

57755202000 is an abundant number, since it is smaller than the sum of its proper divisors (128973203760).

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

57755202000 is a wasteful number, since it uses less digits than its factorization.

57755202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27198 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

Adding to 57755202000 its reverse (20255775), we get a palindrome (57775457775).

The spelling of 57755202000 in words is "fifty-seven billion, seven hundred fifty-five million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 359 375 400 500 600 718 750 1000 1077 1200 1436 1500 1795 2000 2154 2872 3000 3590 4308 5385 5744 6000 7180 8616 8975 10770 14360 17232 17950 21540 26813 26925 28720 35900 43080 44875 53626 53850 71800 80439 86160 89750 107252 107700 134065 134625 143600 160878 179500 214504 215400 268130 269250 321756 359000 402195 429008 430800 536260 538500 643512 670325 718000 804390 1072520 1077000 1287024 1340650 1608780 2010975 2145040 2154000 2681300 3217560 3351625 4021950 5362600 6435120 6703250 8043900 9625867 10054875 10725200 13406500 16087800 19251734 20109750 26813000 28877601 32175600 38503468 40219500 48129335 53626000 57755202 77006936 80439000 96258670 115510404 144388005 154013872 160878000 192517340 231020808 240646675 288776010 385034680 462041616 481293350 577552020 721940025 770069360 962586700 1155104040 1203233375 1443880050 1925173400 2310208080 2406466750 2887760100 3609700125 3850346800 4812933500 5775520200 7219400250 9625867000 11551040400 14438800500 19251734000 28877601000 57755202000