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12164234520 = 2335172158901
BaseRepresentation
bin10110101010000101…
…10111110100011000
31011101202011010202110
423111002313310120
5144403021001040
65331013432320
7610304200404
oct132502676430
934352133673
1012164234520
115182436489
12243593b6a0
1311bb1a8809
14835770104
154b2db2980
hex2d50b7d18

12164234520 has 64 divisors (see below), whose sum is σ = 36514527840. Its totient is φ = 3241856000.

The previous prime is 12164234501. The next prime is 12164234531. The reversal of 12164234520 is 2543246121.

12164234520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 177070 + ... + 235970.

Almost surely, 212164234520 is an apocalyptic number.

12164234520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164234520 is an abundant number, since it is smaller than the sum of its proper divisors (24350293320).

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

12164234520 is a wasteful number, since it uses less digits than its factorization.

12164234520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60636 (or 60632 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12164234520 in words is "twelve billion, one hundred sixty-four million, two hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1721 3442 5163 6884 8605 10326 13768 17210 20652 25815 34420 41304 51630 58901 68840 103260 117802 176703 206520 235604 294505 353406 471208 589010 706812 883515 1178020 1413624 1767030 2356040 3534060 7068120 101368621 202737242 304105863 405474484 506843105 608211726 810948968 1013686210 1216423452 1520529315 2027372420 2432846904 3041058630 4054744840 6082117260 12164234520