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12394777344 = 283127127079
BaseRepresentation
bin10111000101100100…
…10100101100000000
31011222210221221001120
423202302110230000
5200341030333334
65405531032240
7616103604045
oct134262245400
934883857046
1012394777344
11529058a744
12249ab9b680
131226b97ba1
148582231cc
154c8251949
hex2e2c94b00

12394777344 has 72 divisors (see below), whose sum is σ = 33248194560. Its totient is φ = 4099027968.

The previous prime is 12394777321. The next prime is 12394777379. The reversal of 12394777344 is 44377749321.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33997 + ... + 161075.

It is an arithmetic number, because the mean of its divisors is an integer number (461780480).

Almost surely, 212394777344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12394777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624097280).

12394777344 is an abundant number, since it is smaller than the sum of its proper divisors (20853417216).

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

12394777344 is a wasteful number, since it uses less digits than its factorization.

12394777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127225 (or 127211 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 51.

The spelling of 12394777344 in words is "twelve billion, three hundred ninety-four million, seven hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 32512 48768 97536 127079 254158 381237 508316 762474 1016632 1524948 2033264 3049896 4066528 6099792 8133056 12199584 16139033 16266112 24399168 32278066 32532224 48417099 48798336 64556132 96834198 97596672 129112264 193668396 258224528 387336792 516449056 774673584 1032898112 1549347168 2065796224 3098694336 4131592448 6197388672 12394777344