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10554103404 = 223213217102043
BaseRepresentation
bin10011101010001001…
…01101011001101100
31000020112102000002200
421311010231121230
5133103322302104
64503135021500
7522353253525
oct116504553154
930215360080
1010554103404
114526575109
12206666a890
13cc2736600
1472199d84c
1541b861b39
hex27512d66c

10554103404 has 108 divisors (see below), whose sum is σ = 30588097176. Its totient is φ = 3056361984.

The previous prime is 10554103381. The next prime is 10554103411. The reversal of 10554103404 is 40430145501.

It is a happy number.

10554103404 is a `hidden beast` number, since 1 + 0 + 554 + 103 + 4 + 0 + 4 = 666.

10554103404 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 2×105541034042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 52407 + ... + 154449.

It is an arithmetic number, because the mean of its divisors is an integer number (283223122).

Almost surely, 210554103404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10554103404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294048588).

10554103404 is an abundant number, since it is smaller than the sum of its proper divisors (20033993772).

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

10554103404 is a wasteful number, since it uses less digits than its factorization.

10554103404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102096 (or 102078 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10554103404 its reverse (40430145501), we get a palindrome (50984248905).

The spelling of 10554103404 in words is "ten billion, five hundred fifty-four million, one hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 169 204 221 234 306 338 442 468 507 612 663 676 884 1014 1326 1521 1989 2028 2652 2873 3042 3978 5746 6084 7956 8619 11492 17238 25857 34476 51714 102043 103428 204086 306129 408172 612258 918387 1224516 1326559 1734731 1836774 2653118 3469462 3673548 3979677 5204193 5306236 6938924 7959354 10408386 11939031 15612579 15918708 17245267 20816772 22551503 23878062 31225158 34490534 45103006 47756124 51735801 62450316 67654509 68981068 90206012 103471602 135309018 155207403 202963527 206943204 270618036 293169539 310414806 405927054 586339078 620829612 811854108 879508617 1172678156 1759017234 2638525851 3518034468 5277051702 10554103404