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13328009808 = 2437127114431
BaseRepresentation
bin11000110100110100…
…10100101001010000
31021101212000001022220
430122122110221100
5204243432303213
610042305301040
7651165133311
oct143232245120
937355001286
1013328009808
11571a350043
1226bb634780
131345328949
14906150608
15530144e23
hex31a694a50

13328009808 has 80 divisors (see below), whose sum is σ = 35046899712. Its totient is φ = 4363632000.

The previous prime is 13328009777. The next prime is 13328009833. The reversal of 13328009808 is 80890082331.

It is a Cunningham number, because it is equal to 1154472-1.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13328009808.

It is a congruent number.

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, 916353 + ... + 930783.

Almost surely, 213328009808 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 13328009808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523449856).

13328009808 is an abundant number, since it is smaller than the sum of its proper divisors (21718889904).

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

13328009808 is a wasteful number, since it uses less digits than its factorization.

13328009808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14784 (or 14778 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 13328009808 in words is "thirteen billion, three hundred twenty-eight million, nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 271 284 426 542 568 813 852 1084 1136 1626 1704 2168 3252 3408 4336 6504 13008 14431 19241 28862 38482 43293 57723 57724 76964 86586 115446 115448 153928 173172 230892 230896 307856 346344 461784 692688 923568 1024601 2049202 3073803 3910801 4098404 6147606 7821602 8196808 11732403 12295212 15643204 16393616 23464806 24590424 31286408 46929612 49180848 62572816 93859224 187718448 277666871 555333742 833000613 1110667484 1666001226 2221334968 3332002452 4442669936 6664004904 13328009808