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704006420106 = 231153573735081
BaseRepresentation
bin10100011111010100000…
…11010111011010001010
32111022011102021121220210
422033222003113122022
543013301120420411
61255225512501550
7101601635556423
oct12175203273212
92438142247823
10704006420106
112516272a83a0
12b45363aa8b6
13515064c8922
142610744a64a
15134a5b99ca6
hexa3ea0d768a

704006420106 has 64 divisors (see below), whose sum is σ = 1565312812416. Its totient is φ = 209267635200.

The previous prime is 704006420081. The next prime is 704006420107. The reversal of 704006420106 is 601024600407.

704006420106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7040064201062 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (704006420107) 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, 20050486 + ... + 20085566.

It is an arithmetic number, because the mean of its divisors is an integer number (24458012694).

Almost surely, 2704006420106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704006420106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782656406208).

704006420106 is an abundant number, since it is smaller than the sum of its proper divisors (861306392310).

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

704006420106 is a wasteful number, since it uses less digits than its factorization.

704006420106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40887.

The product of its (nonzero) digits is 8064, while the sum is 30.

It can be divided in two parts, 704006420 and 106, that added together give a triangular number (704006526 = T37523).

The spelling of 704006420106 in words is "seven hundred four billion, six million, four hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 3498 5737 11474 17211 34422 35081 63107 70162 105243 126214 189321 210486 304061 378642 385891 608122 771782 912183 1157673 1824366 1859293 2315346 3344671 3718586 5577879 6689342 10034013 11155758 20068026 20452223 40904446 61356669 122713338 201259697 402519394 603779091 1207558182 2213856667 4427713334 6641570001 10666763941 13283140002 21333527882 32000291823 64000583646 117334403351 234668806702 352003210053 704006420106