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13475068140 = 2235678937663
BaseRepresentation
bin11001000110010110…
…10011100011101100
31021210002201101102210
430203023103203230
5210044104140030
610105041250420
7654632121642
oct144313234354
937702641383
1013475068140
115795363156
122740933a10
131369937901
1491b8b1192
1553cee2bb0
hex3232d38ec

13475068140 has 96 divisors (see below), whose sum is σ = 38724618240. Its totient is φ = 3499854336.

The previous prime is 13475068129. The next prime is 13475068141. The reversal of 13475068140 is 4186057431.

13475068140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134750681402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13475068141) 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 31 ways as a sum of consecutive naturals, for example, 338949 + ... + 376611.

It is an arithmetic number, because the mean of its divisors is an integer number (403381440).

Almost surely, 213475068140 is an apocalyptic number.

13475068140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13475068140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362309120).

13475068140 is an abundant number, since it is smaller than the sum of its proper divisors (25249550100).

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

13475068140 is a wasteful number, since it uses less digits than its factorization.

13475068140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37831 (or 37829 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 13475068140 in words is "thirteen billion, four hundred seventy-five million, sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 89 134 178 201 267 268 335 356 402 445 534 670 804 890 1005 1068 1335 1340 1780 2010 2670 4020 5340 5963 11926 17889 23852 29815 35778 37663 59630 71556 75326 89445 112989 119260 150652 178890 188315 225978 357780 376630 451956 564945 753260 1129890 2259780 2523421 3352007 5046842 6704014 7570263 10056021 10093684 12617105 13408028 15140526 16760035 20112042 25234210 30281052 33520070 37851315 40224084 50280105 50468420 67040140 75702630 100560210 151405260 201120420 224584469 449168938 673753407 898337876 1122922345 1347506814 2245844690 2695013628 3368767035 4491689380 6737534070 13475068140