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10427473322544 = 2432337349731447
BaseRepresentation
bin1001011110111101010111…
…0101111110001000110000
31100220212010112201000022210
42113233111311332020300
52331320431132310134
634102152021532120
72124234336545505
oct227572565761060
940825115630283
1010427473322544
1133602a2935263
121204ab7874040
135a83ca54b925
14280999d434ac
1513139871a2e9
hex97bd5d7e230

10427473322544 has 160 divisors (see below), whose sum is σ = 28951296998400. Its totient is φ = 3225571531776.

The previous prime is 10427473322531. The next prime is 10427473322551. The reversal of 10427473322544 is 44522337472401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10427473322493 and 10427473322502.

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, 13890229 + ... + 14621675.

It is an arithmetic number, because the mean of its divisors is an integer number (180945606240).

Almost surely, 210427473322544 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 10427473322544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475648499200).

10427473322544 is an abundant number, since it is smaller than the sum of its proper divisors (18523823675856).

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

10427473322544 is a wasteful number, since it uses less digits than its factorization.

10427473322544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731867 (or 731861 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 48.

The spelling of 10427473322544 in words is "ten trillion, four hundred twenty-seven billion, four hundred seventy-three million, three hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 349 368 444 552 592 698 851 888 1047 1104 1396 1702 1776 2094 2553 2792 3404 4188 5106 5584 6808 8027 8376 10212 12913 13616 16054 16752 20424 24081 25826 32108 38739 40848 48162 51652 64216 77478 96324 103304 128432 154956 192648 206608 296999 309912 385296 593998 619824 731447 890997 1187996 1462894 1781994 2194341 2375992 2925788 3563988 4388682 4751984 5851576 7127976 8777364 11703152 14255952 16823281 17554728 27063539 33646562 35109456 50469843 54127078 67293124 81190617 100939686 108254156 134586248 162381234 201879372 216508312 255275003 269172496 324762468 403758744 433016624 510550006 622461397 649524936 765825009 807517488 1021100012 1244922794 1299049872 1531650018 1867384191 2042200024 2489845588 3063300036 3734768382 4084400048 4979691176 5871325069 6126600072 7469536764 9445175111 9959382352 11742650138 12253200144 14939073528 17613975207 18890350222 23485300276 28335525333 29878147056 35227950414 37780700444 46970600552 56671050666 70455900828 75561400888 93941201104 113342101332 140911801656 151122801776 217239027553 226684202664 281823603312 434478055106 453368405328 651717082659 868956110212 1303434165318 1737912220424 2606868330636 3475824440848 5213736661272 10427473322544