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10530751428 = 22324363110781
BaseRepresentation
bin10011100111010111…
…01000001111000100
31000011220110121012200
421303223220033010
5133031333021203
64500542314500
7521650624131
oct116353501704
930156417180
1010530751428
11451437545a
12205a888a30
13cba94b582
1471c841588
1541979c9a3
hex273ae83c4

10530751428 has 72 divisors (see below), whose sum is σ = 27284152896. Its totient is φ = 3422865600.

The previous prime is 10530751423. The next prime is 10530751433. The reversal of 10530751428 is 82415703501.

10530751428 is a `hidden beast` number, since 10 + 530 + 75 + 1 + 42 + 8 = 666.

10530751428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10530751423) and next prime (10530751433).

It is a super-2 number, since 2×105307514282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10530751392 and 10530751401.

It is not an unprimeable number, because it can be changed into a prime (10530751423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 971398 + ... + 982178.

It is an arithmetic number, because the mean of its divisors is an integer number (378946568).

Almost surely, 210530751428 is an apocalyptic number.

10530751428 is a gapful number since it is divisible by the number (18) 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 10530751428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642076448).

10530751428 is an abundant number, since it is smaller than the sum of its proper divisors (16753401468).

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

10530751428 is a wasteful number, since it uses less digits than its factorization.

10530751428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11465 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10530751428 in words is "ten billion, five hundred thirty million, seven hundred fifty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 631 774 1262 1548 1893 2524 3786 5679 7572 10781 11358 21562 22716 27133 32343 43124 54266 64686 81399 97029 108532 129372 162798 194058 244197 325596 388116 463583 488394 927166 976788 1390749 1854332 2781498 4172247 5562996 6802811 8344494 13605622 16688988 20408433 27211244 40816866 61225299 81633732 122450598 244901196 292520873 585041746 877562619 1170083492 1755125238 2632687857 3510250476 5265375714 10530751428