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10344543066 = 232111322313441
BaseRepresentation
bin10011010001001010…
…10011001101011010
3222200221002020100200
421220211103031122
5132141200334231
64430251243030
7514230110454
oct115045231532
928627066320
1010344543066
114429252350
122008449476
13c8b1b2900
14701c0d2d4
15408269be6
hex26895335a

10344543066 has 144 divisors (see below), whose sum is σ = 27629439552. Its totient is φ = 2767564800.

The previous prime is 10344543023. The next prime is 10344543091. The reversal of 10344543066 is 66034544301.

10344543066 is a `hidden beast` number, since 1 + 0 + 344 + 5 + 4 + 306 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10344543066.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 762906 + ... + 776346.

It is an arithmetic number, because the mean of its divisors is an integer number (191871108).

Almost surely, 210344543066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344543066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13814719776).

10344543066 is an abundant number, since it is smaller than the sum of its proper divisors (17284896486).

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

10344543066 is a wasteful number, since it uses less digits than its factorization.

10344543066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509 (or 13493 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 1034454 and 3066, that added together give a triangular number (1037520 = T1440).

The spelling of 10344543066 in words is "ten billion, three hundred forty-four million, five hundred forty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 33 39 46 66 69 78 99 117 138 143 169 198 207 234 253 286 299 338 414 429 506 507 598 759 858 897 1014 1287 1518 1521 1794 1859 2277 2574 2691 3042 3289 3718 3887 4554 5382 5577 6578 7774 9867 11154 11661 13441 16731 19734 23322 26882 29601 33462 34983 40323 42757 59202 69966 80646 85514 120969 128271 147851 174733 241938 256542 295702 309143 349466 384813 443553 524199 618286 769626 887106 927429 1048398 1330659 1572597 1854858 1922063 2271529 2661318 2782287 3145194 3400573 3844126 4018859 4543058 5564574 5766189 6801146 6814587 8037718 10201719 11532378 12056577 13629174 17298567 20403438 20443761 24113154 24986819 30605157 34597134 36169731 40887522 44207449 49973638 52245167 61210314 72339462 74960457 88414898 104490334 132622347 149920914 156735501 224881371 265244694 313471002 397867041 449762742 470206503 574696837 795734082 940413006 1149393674 1724090511 3448181022 5172271533 10344543066