Search a number
-
+
10705279635428 = 227834606402597
BaseRepresentation
bin1001101111001000010001…
…1000111100111111100100
31101220102012100021220211012
42123302010120330333210
52400343403041313203
634433534303201352
72153300544340040
oct233620430747744
941812170256735
1010705279635428
1134580a12a4984
12124a9085a6258
135c86713717a1
142901d16c7020
1513870778bbd8
hex9bc8463cfe4

10705279635428 has 24 divisors (see below), whose sum is σ = 21668517820992. Its totient is φ = 4532700154464.

The previous prime is 10705279635343. The next prime is 10705279635493. The reversal of 10705279635428 is 82453697250701.

It is a super-2 number, since 2×107052796354282 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2303198975 + ... + 2303203622.

It is an arithmetic number, because the mean of its divisors is an integer number (902854909208).

It is a 1-persistent number, because it is pandigital, but 2⋅10705279635428 = 21410559270856 is not.

Almost surely, 210705279635428 is an apocalyptic number.

It is an amenable number.

10705279635428 is an abundant number, since it is smaller than the sum of its proper divisors (10963238185564).

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

10705279635428 is a wasteful number, since it uses less digits than its factorization.

10705279635428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606402691 (or 4606402689 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 10705279635428 in words is "ten trillion, seven hundred five billion, two hundred seventy-nine million, six hundred thirty-five thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 83 166 332 581 1162 2324 4606402597 9212805194 18425610388 32244818179 64489636358 128979272716 382331415551 764662831102 1529325662204 2676319908857 5352639817714 10705279635428