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438090000012 = 22337579484127
BaseRepresentation
bin1100110000000000011…
…00101110011010001100
31112212210020121212002000
412120000030232122030
524134202020000022
6533131125032300
743436164362510
oct6300014563214
91485706555060
10438090000012
1115987a425155
1270aa3555690
1332408a984a2
14172bcc22140
15b5e08996ac
hex660032e68c

438090000012 has 48 divisors (see below), whose sum is σ = 1298044446720. Its totient is φ = 125168571216.

The previous prime is 438090000001. The next prime is 438090000031. The reversal of 438090000012 is 210000090834.

It is a super-2 number, since 2×4380900000122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289741308 + ... + 289742819.

It is an arithmetic number, because the mean of its divisors is an integer number (27042592640).

Almost surely, 2438090000012 is an apocalyptic number.

438090000012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

438090000012 is an abundant number, since it is smaller than the sum of its proper divisors (859954446708).

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

438090000012 is a wasteful number, since it uses less digits than its factorization.

438090000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579484147 (or 579484139 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 438090000012 its reverse (210000090834), we get a palindrome (648090090846).

The spelling of 438090000012 in words is "four hundred thirty-eight billion, ninety million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 579484127 1158968254 1738452381 2317936508 3476904762 4056388889 5215357143 6953809524 8112777778 10430714286 12169166667 15646071429 16225555556 20861428572 24338333334 31292142858 36507500001 48676666668 62584285716 73015000002 109522500003 146030000004 219045000006 438090000012