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10525453120 = 265713361451
BaseRepresentation
bin10011100110101110…
…11010101101000000
31000011112111102022001
421303113122231000
5133024003444440
64500232553344
7521554606150
oct116327325500
930145442261
1010525453120
114511386796
122058b52854
13cb9814a90
1471bc62760
154190a2b9a
hex2735dab40

10525453120 has 112 divisors (see below), whose sum is σ = 30847759488. Its totient is φ = 3331123200.

The previous prime is 10525453093. The next prime is 10525453229. The reversal of 10525453120 is 2135452501.

10525453120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105254531202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 151606 + ... + 209845.

It is an arithmetic number, because the mean of its divisors is an integer number (275426424).

Almost surely, 210525453120 is an apocalyptic number.

10525453120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10525453120 is an abundant number, since it is smaller than the sum of its proper divisors (20322306368).

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

10525453120 is a wasteful number, since it uses less digits than its factorization.

10525453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361488 (or 361478 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 10525453120 in words is "ten billion, five hundred twenty-five million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 361451 722902 1445804 1807255 2530157 2891608 3614510 4698863 5060314 5783216 7229020 9397726 10120628 11566432 12650785 14458040 18795452 20241256 23132864 23494315 25301570 28916080 32892041 37590904 40482512 46988630 50603140 57832160 65784082 75181808 80965024 93977260 101206280 115664320 131568164 150363616 161930048 164460205 187954520 202412560 263136328 300727232 328920410 375909040 404825120 526272656 657840820 751818080 809650240 1052545312 1315681640 1503636160 2105090624 2631363280 5262726560 10525453120