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10276724352 = 27364341621
BaseRepresentation
bin10011001001000101…
…00101111010000000
3222112012110200120110
421210202211322000
5132021320134402
64415425511320
7512444500326
oct114442457200
928465420513
1010276724352
1143a3a41124
121ba97a2540
13c7a128bab
146d6bd7d16
1540232056c
hex2648a5e80

10276724352 has 64 divisors (see below), whose sum is σ = 27340659360. Its totient is φ = 3420165120.

The previous prime is 10276724309. The next prime is 10276724411. The reversal of 10276724352 is 25342767201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102767243522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10276724352.

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 7 ways as a sum of consecutive naturals, for example, 226102 + ... + 267722.

Almost surely, 210276724352 is an apocalyptic number.

10276724352 is a gapful number since it is divisible by the number (12) 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 10276724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670329680).

10276724352 is an abundant number, since it is smaller than the sum of its proper divisors (17063935008).

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

10276724352 is an equidigital number, since it uses as much as digits as its factorization.

10276724352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42281 (or 42269 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 10276724352 in words is "ten billion, two hundred seventy-six million, seven hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 643 1286 1929 2572 3858 5144 7716 10288 15432 20576 30864 41152 41621 61728 82304 83242 123456 124863 166484 246912 249726 332968 499452 665936 998904 1331872 1997808 2663744 3995616 5327488 7991232 15982464 26762303 53524606 80286909 107049212 160573818 214098424 321147636 428196848 642295272 856393696 1284590544 1712787392 2569181088 3425574784 5138362176 10276724352