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10143275082496 = 283112131053697
BaseRepresentation
bin1001001110011010101001…
…0011101110001100000000
31022220200120021120120011021
42103212222103232030000
52312141411410114441
633323431203155224
72064553545426133
oct223465223561400
938820507516137
1010143275082496
113260814393106
121179a02375b14
135876783b704a
14270d196cc21a
15128cb34443d1
hex939aa4ee300

10143275082496 has 72 divisors (see below), whose sum is σ = 20917304610944. Its totient is φ = 4903985479680.

The previous prime is 10143275082433. The next prime is 10143275082539. The reversal of 10143275082496 is 69428057234101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9099520 + ... + 10153216.

It is a 1-persistent number, because it is pandigital, but 2⋅10143275082496 = 20286550164992 is not.

Almost surely, 210143275082496 is an apocalyptic number.

10143275082496 is a gapful number since it is divisible by the number (16) 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 10143275082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458652305472).

10143275082496 is an abundant number, since it is smaller than the sum of its proper divisors (10774029528448).

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

10143275082496 is a wasteful number, since it uses less digits than its factorization.

10143275082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054957 (or 1054943 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 10143275082496 in words is "ten trillion, one hundred forty-three billion, two hundred seventy-five million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1213 1984 2426 3968 4852 7936 9704 19408 37603 38816 75206 77632 150412 155264 300824 310528 601648 1053697 1203296 2107394 2406592 4214788 4813184 8429576 9626368 16859152 32664607 33718304 65329214 67436608 130658428 134873216 261316856 269746432 522633712 1045267424 1278134461 2090534848 2556268922 4181069696 5112537844 8362139392 10225075688 20450151376 39622168291 40900302752 79244336582 81800605504 158488673164 163601211008 316977346328 327202422016 633954692656 1267909385312 2535818770624 5071637541248 10143275082496