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12348038115 = 345720872
BaseRepresentation
bin10111000000000000…
…00001101111100011
31011212120000022220000
423200000001233203
5200242044204430
65401141151043
7614665410060
oct134000015743
934776008800
1012348038115
115267166886
1224873bb483
13121a2b1a3a
14851d37c67
154c40bce60
hex2e0001be3

12348038115 has 60 divisors (see below), whose sum is σ = 25309271856. Its totient is φ = 5642112672.

The previous prime is 12348038107. The next prime is 12348038119. The reversal of 12348038115 is 51183084321.

It is not a de Polignac number, because 12348038115 - 23 = 12348038107 is a prime.

It is a super-4 number, since 4×123480381154 (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12348038115.

It is not an unprimeable number, because it can be changed into a prime (12348038119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5915602 + ... + 5917688.

Almost surely, 212348038115 is an apocalyptic number.

12348038115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12348038115 is an abundant number, since it is smaller than the sum of its proper divisors (12961233741).

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

12348038115 is an frugal number, since it uses more digits than its factorization.

12348038115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12348038115 in words is "twelve billion, three hundred forty-eight million, thirty-eight thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2087 2835 6261 10435 14609 18783 31305 43827 56349 73045 93915 131481 169047 219135 281745 394443 657405 845235 1183329 1972215 4355569 5916645 13066707 21777845 30488983 39200121 65333535 91466949 117600363 152444915 196000605 274400847 352801089 457334745 588001815 823202541 1372004235 1764005445 2469607623 4116012705 12348038115