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12445144032 = 253177625701
BaseRepresentation
bin10111001011100100…
…11101001111100000
31012010022201211011110
423211302131033200
5200441424102112
65414530343320
7620254656516
oct134562351740
935108654143
1012445144032
115306a60a02
1224b3a2ab40
131234451169
14860bb44b6
154cc8a013c
hex2e5c9d3e0

12445144032 has 48 divisors (see below), whose sum is σ = 34590184272. Its totient is φ = 3904358400.

The previous prime is 12445144009. The next prime is 12445144043. The reversal of 12445144032 is 23044154421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3811219 + ... + 3814482.

It is an arithmetic number, because the mean of its divisors is an integer number (720628839).

Almost surely, 212445144032 is an apocalyptic number.

12445144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12445144032 is an abundant number, since it is smaller than the sum of its proper divisors (22145040240).

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

12445144032 is a wasteful number, since it uses less digits than its factorization.

12445144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625731 (or 7625723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12445144032 its reverse (23044154421), we get a palindrome (35489298453).

The spelling of 12445144032 in words is "twelve billion, four hundred forty-five million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 7625701 15251402 22877103 30502804 45754206 61005608 91508412 122011216 129636917 183016824 244022432 259273834 366033648 388910751 518547668 732067296 777821502 1037095336 1555643004 2074190672 3111286008 4148381344 6222572016 12445144032