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12927679360 = 27566130559
BaseRepresentation
bin11000000101000110…
…01011101110000000
31020100221201011012021
430002203023232000
5202433441214420
65534445011224
7635234314201
oct140243135600
936327634167
1012927679360
115534379932
122609553b14
1312b03ccb1b
148a8d015a8
15509e187aa
hex3028cbb80

12927679360 has 64 divisors (see below), whose sum is σ = 30953001600. Its totient is φ = 5163079680.

The previous prime is 12927679339. The next prime is 12927679397. The reversal of 12927679360 is 6397672921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12927679298 and 12927679307.

It is a congruent number.

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, 407761 + ... + 438319.

It is an arithmetic number, because the mean of its divisors is an integer number (483640650).

Almost surely, 212927679360 is an apocalyptic number.

12927679360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12927679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476500800).

12927679360 is an abundant number, since it is smaller than the sum of its proper divisors (18025322240).

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

12927679360 is an equidigital number, since it uses as much as digits as its factorization.

12927679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31239 (or 31227 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 12927679360 in words is "twelve billion, nine hundred twenty-seven million, six hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 30559 42304 52880 61118 84608 105760 122236 152795 211520 244472 305590 423040 488944 611180 977888 1222360 1955776 2444720 3911552 4889440 9778880 19557760 20199499 40398998 80797996 100997495 161595992 201994990 323191984 403989980 646383968 807979960 1292767936 1615959920 2585535872 3231919840 6463839680 12927679360