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10427303404 = 2274359229641
BaseRepresentation
bin10011011011000010…
…00000010111101100
3222220200210220012101
421231201000113230
5132323342202104
64442405144444
7516253421320
oct115541002754
928820726171
1010427303404
114470a39421
1220300bb124
13ca239b51b
1470cbd3980
154106665a4
hex26d8405ec

10427303404 has 96 divisors (see below), whose sum is σ = 21830054400. Its totient is φ = 4265533440.

The previous prime is 10427303357. The next prime is 10427303431. The reversal of 10427303404 is 40430372401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16266924 + ... + 16267564.

It is an arithmetic number, because the mean of its divisors is an integer number (227396400).

Almost surely, 210427303404 is an apocalyptic number.

10427303404 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 10427303404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915027200).

10427303404 is an abundant number, since it is smaller than the sum of its proper divisors (11402750996).

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

10427303404 is a wasteful number, since it uses less digits than its factorization.

10427303404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 10427303404 its reverse (40430372401), we get a palindrome (50857675805).

The spelling of 10427303404 in words is "ten billion, four hundred twenty-seven million, three hundred three thousand, four hundred four".

Divisors: 1 2 4 7 14 28 43 59 86 118 172 229 236 301 413 458 602 641 826 916 1204 1282 1603 1652 2537 2564 3206 4487 5074 6412 8974 9847 10148 13511 17759 17948 19694 27022 27563 35518 37819 39388 54044 55126 68929 71036 75638 94577 110252 137858 146789 151276 189154 192941 264733 275716 293578 378308 385882 529466 580973 587156 771764 1027523 1058932 1161946 1626217 2055046 2323892 3252434 4066811 4110092 6311927 6504868 8133622 8660551 11383519 12623854 16267244 17321102 22767038 25247708 34642204 44183489 45534076 60623857 88366978 121247714 176733956 242495428 372403693 744807386 1489614772 2606825851 5213651702 10427303404