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10404403104 = 2531714994253
BaseRepresentation
bin10011011000010011…
…01001011110100000
3222212002201102220010
421230021221132200
5132302011344404
64440230244520
7515554652514
oct115411513640
928762642803
1010404403104
11445a018057
1220244b6740
13c9a710c54
14709b52144
1540d641189
hex26c2697a0

10404403104 has 96 divisors (see below), whose sum is σ = 28944216000. Its totient is φ = 3261181952.

The previous prime is 10404403057. The next prime is 10404403123. The reversal of 10404403104 is 40130440401.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2444242 + ... + 2448494.

It is an arithmetic number, because the mean of its divisors is an integer number (301502250).

Almost surely, 210404403104 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 10404403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472108000).

10404403104 is an abundant number, since it is smaller than the sum of its proper divisors (18539812896).

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

10404403104 is a wasteful number, since it uses less digits than its factorization.

10404403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5774 counting only the distinct ones).

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

Adding to 10404403104 its reverse (40130440401), we get a palindrome (50534843505).

The spelling of 10404403104 in words is "ten billion, four hundred four million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1499 1632 2998 4253 4497 5996 8506 8994 11992 12759 17012 17988 23984 25483 25518 34024 35976 47968 50966 51036 68048 71952 72301 76449 101932 102072 136096 143904 144602 152898 203864 204144 216903 289204 305796 407728 408288 433806 578408 611592 815456 867612 1156816 1223184 1735224 2313632 2446368 3470448 6375247 6940896 12750494 19125741 25500988 38251482 51001976 76502964 102003952 108379199 153005928 204007904 216758398 306011856 325137597 433516796 612023712 650275194 867033592 1300550388 1734067184 2601100776 3468134368 5202201552 10404403104