Search a number
-
+
46003116105 = 35589425423
BaseRepresentation
bin101010110101111111…
…111101100001001001
311101202000222102200000
4222311333331201021
51223203244203410
633044502233213
73216000015012
oct526577754111
9141660872600
1046003116105
1118567618021
128aba425809
13445199c77b
14232598c009
1512e3a37dc0
hexab5ffd849

46003116105 has 48 divisors (see below), whose sum is σ = 83621341440. Its totient is φ = 24259264128.

The previous prime is 46003116053. The next prime is 46003116139. The reversal of 46003116105 is 50161130064.

46003116105 is a `hidden beast` number, since 4 + 600 + 31 + 16 + 10 + 5 = 666.

It is not a de Polignac number, because 46003116105 - 212 = 46003112009 is a prime.

It is a super-2 number, since 2×460031161052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104577 + ... + 320846.

It is an arithmetic number, because the mean of its divisors is an integer number (1742111280).

Almost surely, 246003116105 is an apocalyptic number.

46003116105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46003116105 is a deficient number, since it is larger than the sum of its proper divisors (37618225335).

46003116105 is an equidigital number, since it uses as much as digits as its factorization.

46003116105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425532 (or 425520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 46003116105 its reverse (50161130064), we get a palindrome (96164246169).

The spelling of 46003116105 in words is "forty-six billion, three million, one hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 89 135 243 267 405 445 801 1215 1335 2403 4005 7209 12015 21627 36045 108135 425423 1276269 2127115 3828807 6381345 11486421 19144035 34459263 37862647 57432105 103377789 113587941 172296315 189313235 340763823 516888945 567939705 1022291469 1703819115 3066874407 5111457345 9200623221 15334372035 46003116105