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12379413465 = 34538978577
BaseRepresentation
bin10111000011101111…
…01101101111011001
31011221202001100210000
423201313231233121
5200323112212330
65404221443213
7615526164306
oct134167555731
934852040700
1012379413465
115282946621
122495a10509
131223948a33
148561840ad
154c6c19560
hex2e1dedbd9

12379413465 has 40 divisors (see below), whose sum is σ = 22248574920. Its totient is φ = 6585297408.

The previous prime is 12379413439. The next prime is 12379413503. The reversal of 12379413465 is 56431497321.

12379413465 is a `hidden beast` number, since 123 + 79 + 413 + 46 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1874803401 + 10504610064 = 43299^2 + 102492^2 .

It is not a de Polignac number, because 12379413465 - 29 = 12379412953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12379413465.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118257 + ... + 196833.

It is an arithmetic number, because the mean of its divisors is an integer number (556214373).

Almost surely, 212379413465 is an apocalyptic number.

12379413465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12379413465 is a deficient number, since it is larger than the sum of its proper divisors (9869161455).

12379413465 is an equidigital number, since it uses as much as digits as its factorization.

12379413465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78983 (or 78974 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12379413465 in words is "twelve billion, three hundred seventy-nine million, four hundred thirteen thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 389 405 1167 1945 3501 5835 10503 17505 31509 52515 78577 157545 235731 392885 707193 1178655 2121579 3535965 6364737 10607895 30566453 31823685 91699359 152832265 275098077 458496795 825294231 1375490385 2475882693 4126471155 12379413465