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13472282952 = 2332136792
BaseRepresentation
bin11001000110000001…
…01011100101001000
31021202220110212212200
430203000223211020
5210042401023302
610104501440200
7654566341602
oct144300534510
937686425780
1013472282952
115793830647
12273ba10060
1313691a0c7b
1491b388172
1553cb4281c
hex32302b948

13472282952 has 36 divisors (see below), whose sum is σ = 36490100595. Its totient is φ = 4490432688.

The previous prime is 13472282921. The next prime is 13472282969. The reversal of 13472282952 is 25928227431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13472282952 is a `hidden beast` number, since 13 + 472 + 2 + 82 + 95 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6736141476 + 6736141476 = 82074^2 + 82074^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=82074.

It is a junction number, because it is equal to n+sod(n) for n = 13472282898 and 13472282907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 978049 + ... + 991727.

Almost surely, 213472282952 is an apocalyptic number.

13472282952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13472282952 is an abundant number, since it is smaller than the sum of its proper divisors (23017817643).

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

13472282952 is an frugal number, since it uses more digits than its factorization.

13472282952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27370 (or 13684 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13472282952 in words is "thirteen billion, four hundred seventy-two million, two hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13679 27358 41037 54716 82074 109432 123111 164148 246222 328296 492444 984888 187115041 374230082 561345123 748460164 1122690246 1496920328 1684035369 2245380492 3368070738 4490760984 6736141476 13472282952