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12544013251432 = 23131572281133679
BaseRepresentation
bin1011011010001010000101…
…1101000011001101101000
31122102012021211222122112101
42312202201131003031220
53121010114343021212
642402350134023144
72433163225240225
oct266424135031550
948365254878471
1012544013251432
113aa6982505563
1214a71447a7ab4
136ccb841a10b0
143151c23b294c
1516b472a2c157
hexb68a1743368

12544013251432 has 64 divisors (see below), whose sum is σ = 25492464748800. Its totient is φ = 5752245507840.

The previous prime is 12544013251387. The next prime is 12544013251481. The reversal of 12544013251432 is 23415231044521.

It is a junction number, because it is equal to n+sod(n) for n = 12544013251391 and 12544013251400.

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, 372441169 + ... + 372474847.

It is an arithmetic number, because the mean of its divisors is an integer number (398319761700).

Almost surely, 212544013251432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12544013251432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746232374400).

12544013251432 is an abundant number, since it is smaller than the sum of its proper divisors (12948451497368).

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

12544013251432 is a wasteful number, since it uses less digits than its factorization.

12544013251432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56666 (or 56662 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 12544013251432 its reverse (23415231044521), we get a palindrome (35959244295953).

The spelling of 12544013251432 in words is "twelve trillion, five hundred forty-four billion, thirteen million, two hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 16328 22811 33679 45622 67358 91244 134716 182488 269432 296543 437827 593086 875654 1186172 1751308 2372344 3502616 3581327 5287603 7162654 10575206 14325308 21150412 28650616 42300824 46557251 68738839 93114502 137477678 186229004 274955356 372458008 549910712 768251669 1536503338 3073006676 6146013352 9987271697 19974543394 39949086788 79898173576 120615512033 241231024066 482462048132 964924096264 1568001656429 3136003312858 6272006625716 12544013251432