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13406673348 = 22321721906329
BaseRepresentation
bin11000111110001100…
…11001100111000100
31021121100000120102100
430133012121213010
5204424102021343
610054155312100
7653141562135
oct143706314704
937540016370
1013406673348
11575a799132
122721a4b630
13135870b913
14912789c8c
15536ed29d3
hex31f1999c4

13406673348 has 36 divisors (see below), whose sum is σ = 35882568540. Its totient is φ = 4206014976.

The previous prime is 13406673299. The next prime is 13406673361. The reversal of 13406673348 is 84337660431.

13406673348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11784839364 + 1621833984 = 108558^2 + 40272^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 10952553 + ... + 10953776.

It is an arithmetic number, because the mean of its divisors is an integer number (996738015).

Almost surely, 213406673348 is an apocalyptic number.

13406673348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13406673348 is an abundant number, since it is smaller than the sum of its proper divisors (22475895192).

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

13406673348 is a wasteful number, since it uses less digits than its factorization.

13406673348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21906356 (or 21906351 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13406673348 in words is "thirteen billion, four hundred six million, six hundred seventy-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21906329 43812658 65718987 87625316 131437974 197156961 262875948 372407593 394313922 744815186 788627844 1117222779 1489630372 2234445558 3351668337 4468891116 6703336674 13406673348