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12166421440 = 26547837949
BaseRepresentation
bin10110101010010110…
…01101101111000000
31011101220021020122111
423111023031233000
5144404100441230
65331132345104
7610331606305
oct132513155700
934356236574
1012166421440
11518369a558
122436615194
1311bb793054
14835b7d0ac
154b319592a
hex2d52cdbc0

12166421440 has 56 divisors (see below), whose sum is σ = 28980993600. Its totient is φ = 4864939008.

The previous prime is 12166421401. The next prime is 12166421459. The reversal of 12166421440 is 4412466121.

12166421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1526586 + ... + 1534534.

Almost surely, 212166421440 is an apocalyptic number.

12166421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166421440 is an abundant number, since it is smaller than the sum of its proper divisors (16814572160).

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

12166421440 is an equidigital number, since it uses as much as digits as its factorization.

12166421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 12166421440 its reverse (4412466121), we get a palindrome (16578887561).

The spelling of 12166421440 in words is "twelve billion, one hundred sixty-six million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4783 7949 9566 15898 19132 23915 31796 38264 39745 47830 63592 76528 79490 95660 127184 153056 158980 191320 254368 306112 317960 382640 508736 635920 765280 1271840 1530560 2543680 38020067 76040134 152080268 190100335 304160536 380200670 608321072 760401340 1216642144 1520802680 2433284288 3041605360 6083210720 12166421440