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8192381300 = 2252120168213
BaseRepresentation
bin1111010000100110…
…11101000101110100
3210010221102002102122
413220103131011310
5113234222200200
63432531055112
7410005043405
oct75023350564
923127362378
108192381300
113524427364
121707741498
13a073606cc
1457a0659ac
1532e34c385
hex1e84dd174

8192381300 has 36 divisors (see below), whose sum is σ = 17792530476. Its totient is φ = 3274176000.

The previous prime is 8192381279. The next prime is 8192381321. The reversal of 8192381300 is 31832918.

It is an interprime number because it is at equal distance from previous prime (8192381279) and next prime (8192381321).

It can be written as a sum of positive squares in 6 ways, for example, as 2537942884 + 5654438416 = 50378^2 + 75196^2 .

It is a super-2 number, since 2×81923813002 (a number of 21 digits) contains 22 as substring.

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, 85994 + ... + 154206.

Almost surely, 28192381300 is an apocalyptic number.

It is an amenable number.

8192381300 is an abundant number, since it is smaller than the sum of its proper divisors (9600149176).

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

8192381300 is a wasteful number, since it uses less digits than its factorization.

8192381300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69428 (or 69421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 8192381300 is about 90511.7743721777. The cubic root of 8192381300 is about 2015.9049559023.

The spelling of 8192381300 in words is "eight billion, one hundred ninety-two million, three hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1201 2402 4804 6005 12010 24020 30025 60050 68213 120100 136426 272852 341065 682130 1364260 1705325 3410650 6821300 81923813 163847626 327695252 409619065 819238130 1638476260 2048095325 4096190650 8192381300