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10745271360 = 263253730997
BaseRepresentation
bin10100000000111011…
…11101010001000000
31000201212010100020100
422000131331101000
5134001242140420
64534124242400
7530164204515
oct120035752100
930655110210
1010745271360
11461447545a
1220ba6a0400
13102321a845
1473d12330c
1542d524190
hex28077d440

10745271360 has 84 divisors (see below), whose sum is σ = 36959266188. Its totient is φ = 2865404928.

The previous prime is 10745271359. The next prime is 10745271377. The reversal of 10745271360 is 6317254701.

It is a happy number.

10745271360 is a `hidden beast` number, since 1 + 0 + 74 + 527 + 1 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4195930176 + 6549341184 = 64776^2 + 80928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1862619 + ... + 1868378.

Almost surely, 210745271360 is an apocalyptic number.

10745271360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10745271360 is an abundant number, since it is smaller than the sum of its proper divisors (26213994828).

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

10745271360 is a wasteful number, since it uses less digits than its factorization.

10745271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731020 (or 3731007 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10745271360 in words is "ten billion, seven hundred forty-five million, two hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3730997 7461994 11192991 14923988 18654985 22385982 29847976 33578973 37309970 44771964 55964955 59695952 67157946 74619940 89543928 111929910 119391904 134315892 149239880 167894865 179087856 223859820 238783808 268631784 298479760 335789730 358175712 447719640 537263568 596959520 671579460 716351424 895439280 1074527136 1193919040 1343158920 1790878560 2149054272 2686317840 3581757120 5372635680 10745271360