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13398979072 = 2929389317
BaseRepresentation
bin11000111101010010…
…00011001000000000
31021120210112122212011
430132221003020000
5204420114312242
610053322342304
7653016304633
oct143651031000
937523478764
1013398979072
115756413326
12271b35a994
131356c466ab
14911745c1a
155364b2d17
hex31ea43200

13398979072 has 40 divisors (see below), whose sum is σ = 26863460316. Its totient is φ = 6676549632.

The previous prime is 13398979057. The next prime is 13398979147. The reversal of 13398979072 is 27097989331.

It can be written as a sum of positive squares in 2 ways, for example, as 12684165376 + 714813696 = 112624^2 + 26736^2 .

It is a super-3 number, since 3×133989790723 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13398978998 and 13398979016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105358 + ... + 194674.

Almost surely, 213398979072 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 13398979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431730158).

13398979072 is an abundant number, since it is smaller than the sum of its proper divisors (13464481244).

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

13398979072 is an frugal number, since it uses more digits than its factorization.

13398979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89628 (or 89612 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 58.

The spelling of 13398979072 in words is "thirteen billion, three hundred ninety-eight million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1172 2344 4688 9376 18752 37504 75008 89317 150016 178634 357268 714536 1429072 2858144 5716288 11432576 22865152 26169881 45730304 52339762 104679524 209359048 418718096 837436192 1674872384 3349744768 6699489536 13398979072