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13949652808 = 2372138930757
BaseRepresentation
bin11001111110111011…
…01100111101001000
31100000011201210012201
430333131230331020
5212032102342213
610224113245544
71002454043500
oct147735547510
940004653181
1013949652808
115a09240693
1228538638b4
131414061740
1496492ca00
155699da6dd
hex33f76cf48

13949652808 has 96 divisors (see below), whose sum is σ = 33135593400. Its totient is φ = 5456360448.

The previous prime is 13949652803. The next prime is 13949652907. The reversal of 13949652808 is 80825694931.

It can be written as a sum of positive squares in 4 ways, for example, as 6815823364 + 7133829444 = 82558^2 + 84462^2 .

It is a super-3 number, since 3×139496528083 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13949652803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438166 + ... + 468922.

Almost surely, 213949652808 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 13949652808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16567796700).

13949652808 is an abundant number, since it is smaller than the sum of its proper divisors (19185940592).

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

13949652808 is a wasteful number, since it uses less digits than its factorization.

13949652808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30879 (or 30868 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 13949652808 in words is "thirteen billion, nine hundred forty-nine million, six hundred fifty-two thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 89 91 98 104 178 182 196 356 364 392 623 637 712 728 1157 1246 1274 2314 2492 2548 4361 4628 4984 5096 8099 8722 9256 16198 17444 30757 32396 34888 56693 61514 64792 113386 123028 215299 226772 246056 399841 430598 453544 799682 861196 1507093 1599364 1722392 2737373 2798887 3014186 3198728 5474746 5597774 6028372 10949492 11195548 12056744 19161611 19592209 21898984 22391096 35585849 38323222 39184418 71171698 76646444 78368836 134131277 142343396 153292888 156737672 249100943 268262554 284686792 498201886 536525108 996403772 1073050216 1743706601 1992807544 3487413202 6974826404 13949652808