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10527198552 = 23321311247007
BaseRepresentation
bin10011100110111100…
…00100110101011000
31000011122210002120200
421303132010311120
5133024430323202
64500334222200
7521605465653
oct116336046530
930148702520
1010527198552
1145123690a2
122059654960
13cb9ca6390
1471c19889a
154192e9e1c
hex273784d58

10527198552 has 48 divisors (see below), whose sum is σ = 30704331840. Its totient is φ = 3239137728.

The previous prime is 10527198551. The next prime is 10527198569. The reversal of 10527198552 is 25589172501.

10527198552 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 7 + 1 + 98 + 552 = 666.

10527198552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105271985522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10527198498 and 10527198507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527198551) 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 11 ways as a sum of consecutive naturals, for example, 5622568 + ... + 5624439.

It is an arithmetic number, because the mean of its divisors is an integer number (639673580).

Almost surely, 210527198552 is an apocalyptic number.

10527198552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10527198552 is an abundant number, since it is smaller than the sum of its proper divisors (20177133288).

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

10527198552 is a wasteful number, since it uses less digits than its factorization.

10527198552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247032 (or 11247025 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 10527198552 in words is "ten billion, five hundred twenty-seven million, one hundred ninety-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11247007 22494014 33741021 44988028 67482042 89976056 101223063 134964084 146211091 202446126 269928168 292422182 404892252 438633273 584844364 809784504 877266546 1169688728 1315899819 1754533092 2631799638 3509066184 5263599276 10527198552