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12227732736 = 283157101411
BaseRepresentation
bin10110110001101010…
…00110010100000000
31011120011122011221020
423120311012110000
5200020244421421
65341202425440
7612005004402
oct133065062400
934504564836
1012227732736
11520526664a
122453062280
1311cb3abb1b
1483dd7cb72
154b8756dc6
hex2d8d46500

12227732736 has 72 divisors (see below), whose sum is σ = 32751208224. Its totient is φ = 4049909760.

The previous prime is 12227732717. The next prime is 12227732743. The reversal of 12227732736 is 63723772221.

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, 69871 + ... + 171281.

It is an arithmetic number, because the mean of its divisors is an integer number (454877892).

Almost surely, 212227732736 is an apocalyptic number.

12227732736 is a gapful number since it is divisible by the number (16) 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 12227732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375604112).

12227732736 is an abundant number, since it is smaller than the sum of its proper divisors (20523475488).

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

12227732736 is a wasteful number, since it uses less digits than its factorization.

12227732736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101587 (or 101573 counting only the distinct ones).

The product of its digits is 296352, while the sum is 42.

The spelling of 12227732736 in words is "twelve billion, two hundred twenty-seven million, seven hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 628 768 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 30144 40192 60288 101411 120576 202822 304233 405644 608466 811288 1216932 1622576 2433864 3245152 4867728 6490304 9735456 12980608 15921527 19470912 25961216 31843054 38941824 47764581 63686108 77883648 95529162 127372216 191058324 254744432 382116648 509488864 764233296 1018977728 1528466592 2037955456 3056933184 4075910912 6113866368 12227732736