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12154405144 = 237674617027
BaseRepresentation
bin10110101000111010…
…11000000100011000
31011101001122202101111
423110131120010120
5144343011431034
65330023030104
7610124511340
oct132435300430
934331582344
1012154405144
115177932532
12243259b334
1311b914680b
14834331d20
154b20c0364
hex2d4758118

12154405144 has 64 divisors (see below), whose sum is σ = 26494997760. Its totient is φ = 5119424640.

The previous prime is 12154405111. The next prime is 12154405181. The reversal of 12154405144 is 44150445121.

It is a congruent number.

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, 1726159 + ... + 1733185.

It is an arithmetic number, because the mean of its divisors is an integer number (413984340).

Almost surely, 212154405144 is an apocalyptic number.

12154405144 is a gapful number since it is divisible by the number (14) 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 12154405144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247498880).

12154405144 is an abundant number, since it is smaller than the sum of its proper divisors (14340592616).

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

12154405144 is a wasteful number, since it uses less digits than its factorization.

12154405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 12154405144 in words is "twelve billion, one hundred fifty-four million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 461 469 536 922 938 1844 1876 3227 3688 3752 6454 7027 12908 14054 25816 28108 30887 49189 56216 61774 98378 123548 196756 216209 247096 393512 432418 470809 864836 941618 1729672 1883236 3239447 3295663 3766472 6478894 6591326 12957788 13182652 22676129 25915576 26365304 45352258 90704516 181409032 217042949 434085898 868171796 1519300643 1736343592 3038601286 6077202572 12154405144