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10412144204 = 22711191379467
BaseRepresentation
bin10011011001001110…
…01011011001001100
3222212122021201200112
421230213023121030
5132311002103304
64441104215152
7516010523360
oct115447133114
928778251615
1010412144204
114463425060
12202700a4b8
13c9c1c1597
1470aba92a0
1540e16eb6e
hex26c9cb64c

10412144204 has 96 divisors (see below), whose sum is σ = 22945628160. Its totient is φ = 4016174400.

The previous prime is 10412144177. The next prime is 10412144209. The reversal of 10412144204 is 40244121401.

10412144204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10412144204.

It is not an unprimeable number, because it can be changed into a prime (10412144209) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22295579 + ... + 22296045.

It is an arithmetic number, because the mean of its divisors is an integer number (239016960).

Almost surely, 210412144204 is an apocalyptic number.

10412144204 is a gapful number since it is divisible by the number (14) 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 10412144204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472814080).

10412144204 is an abundant number, since it is smaller than the sum of its proper divisors (12533483956).

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

10412144204 is a wasteful number, since it uses less digits than its factorization.

10412144204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10412144204 its reverse (40244121401), we get a palindrome (50656265605).

The spelling of 10412144204 in words is "ten billion, four hundred twelve million, one hundred forty-four thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 379 382 467 758 764 934 1337 1516 1868 2101 2653 2674 3269 4169 4202 5137 5306 5348 6538 8338 8404 10274 10612 13076 14707 16676 20548 29183 29414 35959 58366 58828 71918 72389 89197 116732 143836 144778 176993 178394 289556 353986 356788 506723 624379 707972 796279 981167 1013446 1238951 1248758 1592558 1946923 1962334 2026892 2477902 2497516 3185116 3893846 3924668 4955804 5573953 6868169 7787692 11147906 13628461 13736338 22295812 27256922 27472676 33805663 54513844 67611326 135222652 236639641 371862293 473279282 743724586 946558564 1487449172 2603036051 5206072102 10412144204