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10655738352 = 243372503389
BaseRepresentation
bin10011110110010000…
…11010100111110000
31000111121122121001000
421323020122213300
5133310332111402
64521205242000
7525026165400
oct117310324760
930447577030
1010655738352
114578982a36
122094703300
13100a80032c
14731298800
1542573ac1c
hex27b21a9f0

10655738352 has 120 divisors (see below), whose sum is σ = 35579605200. Its totient is φ = 3044490624.

The previous prime is 10655738347. The next prime is 10655738371. The reversal of 10655738352 is 25383755601.

10655738352 is a `hidden beast` number, since 10 + 6 + 557 + 3 + 83 + 5 + 2 = 666.

10655738352 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 2×106557383522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10655738298 and 10655738307.

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 23 ways as a sum of consecutive naturals, for example, 230527 + ... + 272862.

It is an arithmetic number, because the mean of its divisors is an integer number (296496710).

Almost surely, 210655738352 is an apocalyptic number.

10655738352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10655738352 is an abundant number, since it is smaller than the sum of its proper divisors (24923866848).

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

10655738352 is a wasteful number, since it uses less digits than its factorization.

10655738352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503420 (or 503401 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10655738352 in words is "ten billion, six hundred fifty-five million, seven hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 503389 1006778 1510167 2013556 3020334 3523723 4027112 4530501 6040668 7047446 8054224 9061002 10571169 12081336 13591503 14094892 18122004 21142338 24162672 24666061 27183006 28189784 31713507 36244008 42284676 49332122 54366012 56379568 63427014 72488016 73998183 84569352 95140521 98664244 108732024 126854028 147996366 169138704 190281042 197328488 217464048 221994549 253708056 295992732 380562084 394656976 443989098 507416112 591985464 665983647 761124168 887978196 1183970928 1331967294 1522248336 1775956392 2663934588 3551912784 5327869176 10655738352