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10995627552 = 2537131258657
BaseRepresentation
bin10100011110110001…
…11111011000100000
31001101022012202100220
422033120333120200
5140004340040202
65015030243040
7536324202120
oct121730773040
931338182326
1010995627552
1147328217a8
12216a4b6480
1310630563c0
14764492c80
154454c8abc
hex28f63f620

10995627552 has 96 divisors (see below), whose sum is σ = 35524363392. Its totient is φ = 2899943424.

The previous prime is 10995627521. The next prime is 10995627583. The reversal of 10995627552 is 25572659901.

It is a happy number.

10995627552 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 (10995627521) and next prime (10995627583).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10995627495 and 10995627504.

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, 620593 + ... + 638064.

It is an arithmetic number, because the mean of its divisors is an integer number (370045452).

Almost surely, 210995627552 is an apocalyptic number.

10995627552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10995627552 is an abundant number, since it is smaller than the sum of its proper divisors (24528735840).

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

10995627552 is a wasteful number, since it uses less digits than its factorization.

10995627552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258690 (or 1258682 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 10995627552 in words is "ten billion, nine hundred ninety-five million, six hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 1258657 2517314 3775971 5034628 7551942 8810599 10069256 15103884 16362541 17621198 20138512 26431797 30207768 32725082 35242396 40277024 49087623 52863594 60415536 65450164 70484792 98175246 105727188 114537787 120831072 130900328 140969584 196350492 211454376 229075574 261800656 281939168 343613361 392700984 422908752 458151148 523601312 687226722 785401968 845817504 916302296 1374453444 1570803936 1832604592 2748906888 3665209184 5497813776 10995627552