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57130016000 = 28531785313
BaseRepresentation
bin110101001101001101…
…101101110100000000
312110110111012111211112
4311031031231310000
51414000241003000
642124542302452
74061510060261
oct651515556400
9173414174745
1057130016000
112225744a662
12b0a4887a28
135505c987c5
142a9d652968
1517457e2235
hexd4d36dd00

57130016000 has 72 divisors (see below), whose sum is σ = 142318090824. Its totient is φ = 22851993600.

The previous prime is 57130015991. The next prime is 57130016003. The reversal of 57130016000 is 61003175.

It can be written as a sum of positive squares in 4 ways, for example, as 7261766656 + 49868249344 = 85216^2 + 223312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57130016003) 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 7 ways as a sum of consecutive naturals, for example, 860657 + ... + 924656.

Almost surely, 257130016000 is an apocalyptic number.

57130016000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57130016000 is an abundant number, since it is smaller than the sum of its proper divisors (85188074824).

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

57130016000 is an equidigital number, since it uses as much as digits as its factorization.

57130016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785344 (or 1785320 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

Adding to 57130016000 its reverse (61003175), we get a palindrome (57191019175).

The spelling of 57130016000 in words is "fifty-seven billion, one hundred thirty million, sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 1785313 3570626 7141252 8926565 14282504 17853130 28565008 35706260 44632825 57130016 71412520 89265650 114260032 142825040 178531300 223164125 228520064 285650080 357062600 446328250 457040128 571300160 714125200 892656500 1142600320 1428250400 1785313000 2285200640 2856500800 3570626000 5713001600 7141252000 11426003200 14282504000 28565008000 57130016000