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13721241616448 = 261911549977047
BaseRepresentation
bin1100011110101011100110…
…1110111000000001000000
31210120201220220211211211112
43013222321232320001000
53244302100323211243
645103241255302452
72614220105240012
oct307527156700100
953521826754745
1013721241616448
1144101671a9203
12165732807aa28
13786ba4b05972
1435617c4961b2
1518bdc34b6818
hexc7ab9bb8040

13721241616448 has 56 divisors (see below), whose sum is σ = 28663657176000. Its totient is φ = 6498966071808.

The previous prime is 13721241616421. The next prime is 13721241616451. The reversal of 13721241616448 is 84461614212731.

It is a junction number, because it is equal to n+sod(n) for n = 13721241616396 and 13721241616405.

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, 13555061 + ... + 14532107.

It is an arithmetic number, because the mean of its divisors is an integer number (511851021000).

Almost surely, 213721241616448 is an apocalyptic number.

It is an amenable number.

13721241616448 is an abundant number, since it is smaller than the sum of its proper divisors (14942415559552).

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

13721241616448 is a wasteful number, since it uses less digits than its factorization.

13721241616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988627 (or 988617 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The spelling of 13721241616448 in words is "thirteen trillion, seven hundred twenty-one billion, two hundred forty-one million, six hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 11549 23098 46196 92392 184784 219431 369568 438862 739136 877724 977047 1755448 1954094 3510896 3908188 7021792 7816376 14043584 15632752 18563893 31265504 37127786 62531008 74255572 148511144 297022288 594044576 1188089152 11283915803 22567831606 45135663212 90271326424 180542652848 214394400257 361085305696 428788800514 722170611392 857577601028 1715155202056 3430310404112 6860620808224 13721241616448