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10412342004 = 22329971731783
BaseRepresentation
bin10011011001001111…
…11011101011110100
3222212122122210000110
421230213323223310
5132311024421004
64441112343020
7516012306141
oct115447735364
928778583013
1010412342004
11446354a729
1220270a4a70
13c9c26061c
1470ac1b3c8
1540e1ad589
hex26c9fbaf4

10412342004 has 96 divisors (see below), whose sum is σ = 25553445120. Its totient is φ = 3295531008.

The previous prime is 10412341993. The next prime is 10412342009. The reversal of 10412342004 is 40024321401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412342009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5838897 + ... + 5840679.

It is an arithmetic number, because the mean of its divisors is an integer number (266181720).

Almost surely, 210412342004 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 10412342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776722560).

10412342004 is an abundant number, since it is smaller than the sum of its proper divisors (15141103116).

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

10412342004 is a wasteful number, since it uses less digits than its factorization.

10412342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10412342004 its reverse (40024321401), we get a palindrome (50436663405).

The spelling of 10412342004 in words is "ten billion, four hundred twelve million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 173 174 194 291 346 348 388 519 582 692 1038 1164 1783 2076 2813 3566 5017 5349 5626 7132 8439 10034 10698 11252 15051 16781 16878 20068 21396 30102 33562 33756 50343 51707 60204 67124 100686 103414 155121 172951 201372 206828 308459 310242 345902 486649 518853 616918 620484 691804 925377 973298 1037706 1233836 1459947 1850754 1946596 2075412 2919894 3701508 5015579 5839788 8945311 10031158 15046737 17890622 20062316 26835933 29920523 30093474 35781244 53671866 59841046 60186948 89761569 107343732 119682092 179523138 359046276 867695167 1735390334 2603085501 3470780668 5206171002 10412342004