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13416151428 = 2232383973031
BaseRepresentation
bin11000111111010101…
…00011100110000100
31021121222212002220100
430133222203212010
5204434013321203
610055134404100
7653315256051
oct143752434604
937558762810
1013416151428
115765082159
122725060630
13135a679a54
14913b36028
15537c55ea3
hex31faa3984

13416151428 has 36 divisors (see below), whose sum is σ = 34001630208. Its totient is φ = 4460369520.

The previous prime is 13416151421. The next prime is 13416151429. The reversal of 13416151428 is 82415161431.

13416151428 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 615 + 14 + 28 = 666.

13416151428 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13416151392 and 13416151401.

It is not an unprimeable number, because it can be changed into a prime (13416151421) 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 11 ways as a sum of consecutive naturals, for example, 472728 + ... + 500303.

It is an arithmetic number, because the mean of its divisors is an integer number (944489728).

Almost surely, 213416151428 is an apocalyptic number.

13416151428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13416151428 is an abundant number, since it is smaller than the sum of its proper divisors (20585478780).

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

13416151428 is a wasteful number, since it uses less digits than its factorization.

13416151428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973424 (or 973419 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 13416151428 in words is "thirteen billion, four hundred sixteen million, one hundred fifty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 383 766 1149 1532 2298 3447 4596 6894 13788 973031 1946062 2919093 3892124 5838186 8757279 11676372 17514558 35029116 372670873 745341746 1118012619 1490683492 2236025238 3354037857 4472050476 6708075714 13416151428