Search a number
-
+
13835706654 = 23711239125303
BaseRepresentation
bin11001110001010110…
…00010000100011110
31022201020022201110210
430320223002010132
5211313420103104
610204523113250
7666601365120
oct147053020436
938636281423
1013835706654
11595a994210
122821672826
1313c6577193
1495374b210
1555e9cd989
hex338ac211e

13835706654 has 64 divisors (see below), whose sum is σ = 34644049920. Its totient is φ = 3578625120.

The previous prime is 13835706631. The next prime is 13835706713. The reversal of 13835706654 is 45660753831.

It is a Curzon number.

It is a congruent number.

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, 47767 + ... + 173069.

It is an arithmetic number, because the mean of its divisors is an integer number (541313280).

Almost surely, 213835706654 is an apocalyptic number.

13835706654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13835706654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322024960).

13835706654 is an abundant number, since it is smaller than the sum of its proper divisors (20808343266).

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

13835706654 is a wasteful number, since it uses less digits than its factorization.

13835706654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125565.

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 13835706654 in words is "thirteen billion, eight hundred thirty-five million, seven hundred six thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 239 462 478 717 1434 1673 2629 3346 5019 5258 7887 10038 15774 18403 36806 55209 110418 125303 250606 375909 751818 877121 1378333 1754242 2631363 2756666 4134999 5262726 8269998 9648331 19296662 28944993 29947417 57889986 59894834 89842251 179684502 209631919 329421587 419263838 628895757 658843174 988264761 1257791514 1976529522 2305951109 4611902218 6917853327 13835706654