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13017681888 = 253197136887
BaseRepresentation
bin11000001111110101…
…00000111111100000
31020121020001202110020
430013322200333200
5203130011310023
65551422033440
7640406320221
oct140772407740
936536052406
1013017681888
115580162092
122633718880
1312c5c52c63
148b6c4d248
15512c95de3
hex307ea0fe0

13017681888 has 48 divisors (see below), whose sum is σ = 35969915520. Its totient is φ = 4110846336.

The previous prime is 13017681871. The next prime is 13017681889. The reversal of 13017681888 is 88818671031.

13017681888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13017681888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13017681889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3566620 + ... + 3570267.

It is an arithmetic number, because the mean of its divisors is an integer number (749373240).

Almost surely, 213017681888 is an apocalyptic number.

It is an amenable number.

13017681888 is an abundant number, since it is smaller than the sum of its proper divisors (22952233632).

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

13017681888 is a wasteful number, since it uses less digits than its factorization.

13017681888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136919 (or 7136911 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 13017681888 in words is "thirteen billion, seventeen million, six hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7136887 14273774 21410661 28547548 42821322 57095096 85642644 114190192 135600853 171285288 228380384 271201706 342570576 406802559 542403412 685141152 813605118 1084806824 1627210236 2169613648 3254420472 4339227296 6508840944 13017681888