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10404361792 = 261173443457
BaseRepresentation
bin10011011000010010…
…11111011001000000
3222212002122100020001
421230021133121000
5132302004034132
64440225325344
7515554421206
oct115411373100
928762570201
1010404361792
114459a9a010
122024496854
13c9a6c81c6
14709b41076
1540d633ce7
hex26c25f640

10404361792 has 112 divisors (see below), whose sum is σ = 22933225152. Its totient is φ = 4643758080.

The previous prime is 10404361769. The next prime is 10404361837. The reversal of 10404361792 is 29716340401.

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, 22766428 + ... + 22766884.

Almost surely, 210404361792 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 10404361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466612576).

10404361792 is an abundant number, since it is smaller than the sum of its proper divisors (12528863360).

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

10404361792 is a wasteful number, since it uses less digits than its factorization.

10404361792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 10404361792 in words is "ten billion, four hundred four million, three hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 292 352 443 457 584 704 803 886 914 1168 1606 1772 1828 2336 3212 3544 3656 4672 4873 5027 6424 7088 7312 9746 10054 12848 14176 14624 19492 20108 25696 28352 29248 32339 33361 38984 40216 51392 64678 66722 77968 80432 129356 133444 155936 160864 202451 258712 266888 311872 321728 355729 366971 404902 517424 533776 711458 733942 809804 1034848 1067552 1422916 1467884 1619608 2069696 2135104 2226961 2845832 2935768 3239216 4453922 5691664 5871536 6478432 8907844 11383328 11743072 12956864 14778923 17815688 22766656 23486144 29557846 35631376 59115692 71262752 118231384 142525504 162568153 236462768 325136306 472925536 650272612 945851072 1300545224 2601090448 5202180896 10404361792