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57115131200 = 2652172099821
BaseRepresentation
bin110101001100010100…
…111011110101000000
312110102110012021201122
4311030110323311000
51413432433144300
642123251251412
74061236414331
oct651424736500
9173373167648
1057115131200
112224a003476
12b09b8a9b68
135502b8672a
142a9b69a288
151744351c85
hexd4c53bd40

57115131200 has 84 divisors (see below), whose sum is σ = 148805985852. Its totient is φ = 21502156800.

The previous prime is 57115131193. The next prime is 57115131233. The reversal of 57115131200 is 213151175.

It can be written as a sum of positive squares in 6 ways, for example, as 1611540736 + 55503590464 = 40144^2 + 235592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57115131200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1022711 + ... + 1077110.

Almost surely, 257115131200 is an apocalyptic number.

57115131200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57115131200 is an abundant number, since it is smaller than the sum of its proper divisors (91690854652).

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

57115131200 is a wasteful number, since it uses less digits than its factorization.

57115131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099860 (or 2099845 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 57115131200 its reverse (213151175), we get a palindrome (57328282375).

The spelling of 57115131200 in words is "fifty-seven billion, one hundred fifteen million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 2099821 4199642 8399284 10499105 16798568 20998210 33597136 35696957 41996420 52495525 67194272 71393914 83992840 104991050 134388544 142787828 167985680 178484785 209982100 285575656 335971360 356969570 419964200 571151312 671942720 713939140 839928400 892423925 1142302624 1427878280 1679856800 1784847850 2284605248 2855756560 3359713600 3569695700 5711513120 7139391400 11423026240 14278782800 28557565600 57115131200