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10775799552 = 28372387149
BaseRepresentation
bin10100000100100100…
…11010011100000000
31000210222120100001010
422002102122130000
5134032101041202
64541134440520
7531014533140
oct120222323400
930728510033
1010775799552
11462a726771
122108963140
13102964906b
147431cc920
1543105476c
hex28249a700

10775799552 has 144 divisors (see below), whose sum is σ = 34201843200. Its totient is φ = 2944905216.

The previous prime is 10775799491. The next prime is 10775799553. The reversal of 10775799552 is 25599757701.

It is a super-2 number, since 2×107757995522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10775799492 and 10775799501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775799553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80074 + ... + 167222.

It is an arithmetic number, because the mean of its divisors is an integer number (237512800).

Almost surely, 210775799552 is an apocalyptic number.

10775799552 is a gapful number since it is divisible by the number (12) 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 10775799552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100921600).

10775799552 is an abundant number, since it is smaller than the sum of its proper divisors (23426043648).

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

10775799552 is an equidigital number, since it uses as much as digits as its factorization.

10775799552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87198 (or 87184 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 57.

The spelling of 10775799552 in words is "ten billion, seven hundred seventy-five million, seven hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 41216 61824 87149 123648 174298 261447 348596 522894 610043 697192 1045788 1220086 1394384 1830129 2004427 2091576 2440172 2788768 3660258 4008854 4183152 4880344 5577536 6013281 7320516 8017708 8366304 9760688 11155072 12026562 14030989 14641032 16035416 16732608 19521376 22310144 24053124 28061978 29282064 32070832 33465216 39042752 42092967 48106248 56123956 58564128 64141664 66930432 78085504 84185934 96212496 112247912 117128256 128283328 156171008 168371868 192424992 224495824 234256512 256566656 336743736 384849984 448991648 468513024 513133312 673487472 769699968 897983296 1346974944 1539399936 1795966592 2693949888 3591933184 5387899776 10775799552