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13352412420 = 2232574180069
BaseRepresentation
bin11000110111101110…
…11010010100000100
31021110112220211102100
430123313122110010
5204321204144140
610044540312100
7651612430044
oct143367322404
937415824370
1013352412420
1157320a8096
122707842630
13134a3c0c69
149094a3724
15532365530
hex31bdda504

13352412420 has 36 divisors (see below), whose sum is σ = 40502318220. Its totient is φ = 3560643264.

The previous prime is 13352412413. The next prime is 13352412439. The reversal of 13352412420 is 2421425331.

13352412420 is a `hidden beast` number, since 13 + 3 + 524 + 124 + 2 + 0 = 666.

13352412420 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 2796082884 + 10556329536 = 52878^2 + 102744^2 .

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

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, 37089855 + ... + 37090214.

It is an arithmetic number, because the mean of its divisors is an integer number (1125064395).

Almost surely, 213352412420 is an apocalyptic number.

13352412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13352412420 is an abundant number, since it is smaller than the sum of its proper divisors (27149905800).

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

13352412420 is a wasteful number, since it uses less digits than its factorization.

13352412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74180084 (or 74180079 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13352412420 its reverse (2421425331), we get a palindrome (15773837751).

The spelling of 13352412420 in words is "thirteen billion, three hundred fifty-two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 74180069 148360138 222540207 296720276 370900345 445080414 667620621 741800690 890160828 1112701035 1335241242 1483601380 2225402070 2670482484 3338103105 4450804140 6676206210 13352412420