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12379000248 = 2332473658097
BaseRepresentation
bin10111000011101100…
…01000110110111000
31011221201021100221200
423201312020312320
5200323011001443
65404204534200
7615522523506
oct134166106670
934851240850
1012379000248
11528269411a
122495851360
131223832924
148560b7676
154c6b86dd3
hex2e1d88db8

12379000248 has 48 divisors (see below), whose sum is σ = 34239797280. Its totient is φ = 4038537984.

The previous prime is 12379000229. The next prime is 12379000267. The reversal of 12379000248 is 84200097321.

12379000248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12379000229) and next prime (12379000267).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1825665 + ... + 1832432.

It is an arithmetic number, because the mean of its divisors is an integer number (713329110).

Almost surely, 212379000248 is an apocalyptic number.

12379000248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12379000248 is an abundant number, since it is smaller than the sum of its proper divisors (21860797032).

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

12379000248 is a wasteful number, since it uses less digits than its factorization.

12379000248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658156 (or 3658149 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 12379000248 its reverse (84200097321), we get a palindrome (96579097569).

The spelling of 12379000248 in words is "twelve billion, three hundred seventy-nine million, two hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 3658097 7316194 10974291 14632388 21948582 29264776 32922873 43897164 65845746 87794328 131691492 171930559 263382984 343861118 515791677 687722236 1031583354 1375444472 1547375031 2063166708 3094750062 4126333416 6189500124 12379000248