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10532399328 = 2533111108207
BaseRepresentation
bin10011100111100011…
…11010100011100000
31000012000120022201000
421303301322203200
5133032243234303
64501041512000
7522000626403
oct116361724340
930160508630
1010532399328
1145152a0560
12205b342600
13cbb0a7669
1471cb4dd3a
154199c5da3
hex273c7a8e0

10532399328 has 96 divisors (see below), whose sum is σ = 33512209920. Its totient is φ = 3191633280.

The previous prime is 10532399261. The next prime is 10532399347. The reversal of 10532399328 is 82399323501.

10532399328 is a `hidden beast` number, since 1 + 0 + 532 + 3 + 9 + 93 + 28 = 666.

10532399328 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 (96).

It is a super-2 number, since 2×105323993282 (a number of 21 digits) contains 22 as substring.

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, 544600 + ... + 563607.

It is an arithmetic number, because the mean of its divisors is an integer number (349085520).

Almost surely, 210532399328 is an apocalyptic number.

10532399328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10532399328 is an abundant number, since it is smaller than the sum of its proper divisors (22979810592).

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

10532399328 is a wasteful number, since it uses less digits than its factorization.

10532399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108237 (or 1108223 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10532399328 in words is "ten billion, five hundred thirty-two million, three hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1108207 2216414 3324621 4432828 6649242 8865656 9973863 12190277 13298484 17731312 19947726 24380554 26596968 29921589 35462624 36570831 39895452 48761108 53193936 59843178 73141662 79790904 97522216 106387872 109712493 119686356 146283324 159581808 195044432 219424986 239372712 292566648 319163616 329137479 390088864 438849972 478745424 585133296 658274958 877699944 957490848 1170266592 1316549916 1755399888 2633099832 3510799776 5266199664 10532399328