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10528199440 = 24511192921713
BaseRepresentation
bin10011100111000011…
…11001001100010000
31000011201122221112121
421303201321030100
5133030204340230
64500411504024
7521620135003
oct116341711420
930151587477
1010528199440
114512992080
122059a58014
13cba266b15
1471c37953a
1541944677a
hex273879310

10528199440 has 160 divisors (see below), whose sum is σ = 29079388800. Its totient is φ = 3501711360.

The previous prime is 10528199431. The next prime is 10528199441. The reversal of 10528199440 is 4499182501.

It is a super-2 number, since 2×105281994402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10528199441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474024 + ... + 495736.

It is an arithmetic number, because the mean of its divisors is an integer number (181746180).

Almost surely, 210528199440 is an apocalyptic number.

10528199440 is a gapful number since it is divisible by the number (10) 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 10528199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539694400).

10528199440 is an abundant number, since it is smaller than the sum of its proper divisors (18551189360).

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

10528199440 is a wasteful number, since it uses less digits than its factorization.

10528199440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21785 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 10528199440 in words is "ten billion, five hundred twenty-eight million, one hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 29 38 40 44 55 58 76 80 88 95 110 116 145 152 176 190 209 220 232 290 304 319 380 418 440 464 551 580 638 760 836 880 1045 1102 1160 1276 1520 1595 1672 2090 2204 2320 2552 2755 3190 3344 4180 4408 5104 5510 6061 6380 8360 8816 11020 12122 12760 16720 21713 22040 24244 25520 30305 43426 44080 48488 60610 86852 96976 108565 121220 173704 217130 238843 242440 347408 412547 434260 477686 484880 629677 825094 868520 955372 1194215 1259354 1650188 1737040 1910744 2062735 2388430 2518708 3148385 3300376 3821488 4125470 4538017 4776860 5037416 6296770 6600752 6926447 8250940 9076034 9553720 10074832 11963863 12593540 13852894 16501880 18152068 19107440 22690085 23927726 25187080 27705788 33003760 34632235 36304136 45380170 47855452 50374160 55411576 59819315 69264470 72608272 90760340 95710904 110823152 119638630 131602493 138528940 181520680 191421808 239277260 263204986 277057880 363041360 478554520 526409972 554115760 658012465 957109040 1052819944 1316024930 2105639888 2632049860 5264099720 10528199440