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13470950880 = 253259354827
BaseRepresentation
bin11001000101110111…
…00110010111100000
31021202210222012121200
430202323212113200
5210042030412010
610104413121200
7654552123162
oct144273462740
937683865550
1013470950880
115793000862
12273b489200
131368b2586a
1491b11c932
1553c97ccc0
hex322ee65e0

13470950880 has 72 divisors (see below), whose sum is σ = 45969624792. Its totient is φ = 3592253184.

The previous prime is 13470950873. The next prime is 13470950897. The reversal of 13470950880 is 8805907431.

13470950880 is a `hidden beast` number, since 13 + 470 + 95 + 0 + 8 + 80 = 666.

13470950880 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 (72).

It is a super-3 number, since 3×134709508803 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4675974 + ... + 4678853.

It is an arithmetic number, because the mean of its divisors is an integer number (638467011).

Almost surely, 213470950880 is an apocalyptic number.

13470950880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13470950880 is an abundant number, since it is smaller than the sum of its proper divisors (32498673912).

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

13470950880 is a wasteful number, since it uses less digits than its factorization.

13470950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354848 (or 9354837 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13470950880 in words is "thirteen billion, four hundred seventy million, nine hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9354827 18709654 28064481 37419308 46774135 56128962 74838616 84193443 93548270 112257924 140322405 149677232 168386886 187096540 224515848 280644810 299354464 336773772 374193080 420967215 449031696 561289620 673547544 748386160 841934430 898063392 1122579240 1347095088 1496772320 1683868860 2245158480 2694190176 3367737720 4490316960 6735475440 13470950880