Search a number
-
+
13835516112 = 2432118734543
BaseRepresentation
bin11001110001010100…
…10011100011010000
31022201012222001002200
430320222103203100
5211313343003422
610204515043200
7666566642445
oct147052234320
938635861080
1013835516112
11595a874040
1228215a0500
1313c650b532
149536db9cc
1555e9922ac
hex338a938d0

13835516112 has 60 divisors (see below), whose sum is σ = 42240254784. Its totient is φ = 4192580160.

The previous prime is 13835516099. The next prime is 13835516143. The reversal of 13835516112 is 21161553831.

It is a happy number.

13835516112 is a `hidden beast` number, since 1 + 3 + 8 + 35 + 5 + 1 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4365688 + ... + 4368855.

Almost surely, 213835516112 is an apocalyptic number.

13835516112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13835516112 is an abundant number, since it is smaller than the sum of its proper divisors (28404738672).

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

13835516112 is a wasteful number, since it uses less digits than its factorization.

13835516112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734568 (or 8734559 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 13835516112 in words is "thirteen billion, eight hundred thirty-five million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 8734543 17469086 26203629 34938172 52407258 69876344 78610887 96079973 104814516 139752688 157221774 192159946 209629032 288239919 314443548 384319892 419258064 576479838 628887096 768639784 864719757 1152959676 1257774192 1537279568 1729439514 2305919352 3458879028 4611838704 6917758056 13835516112