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13239506048 = 271511574363
BaseRepresentation
bin11000101010010001…
…01101010010000000
31021011200110120222212
430111020231102000
5204103303143143
610025424321252
7646041641666
oct142510552200
937150416885
1013239506048
1156843a093a
122695a73228
13132cbaba62
148d84b2c36
155274b1918
hex31522d480

13239506048 has 64 divisors (see below), whose sum is σ = 26725485120. Its totient is φ = 6532531200.

The previous prime is 13239506047. The next prime is 13239506087. The reversal of 13239506048 is 84060593231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13239505996 and 13239506014.

It is not an unprimeable number, because it can be changed into a prime (13239506047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3032315 + ... + 3036677.

It is an arithmetic number, because the mean of its divisors is an integer number (417585705).

Almost surely, 213239506048 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 13239506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362742560).

13239506048 is an abundant number, since it is smaller than the sum of its proper divisors (13485979072).

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

13239506048 is a wasteful number, since it uses less digits than its factorization.

13239506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 13239506048 in words is "thirteen billion, two hundred thirty-nine million, five hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 151 157 302 314 604 628 1208 1256 2416 2512 4363 4832 5024 8726 9664 10048 17452 19328 20096 23707 34904 47414 69808 94828 139616 189656 279232 379312 558464 658813 684991 758624 1317626 1369982 1517248 2635252 2739964 3034496 5270504 5479928 10541008 10959856 21082016 21919712 42164032 43839424 84328064 87678848 103433641 206867282 413734564 827469128 1654938256 3309876512 6619753024 13239506048