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13227185952 = 25382512
BaseRepresentation
bin11000101000110011…
…01101011100100000
31021010211021200000000
430110121231130200
5204042124422302
610024304300000
7645532140231
oct142431553440
937124250000
1013227185952
115678446642
122691911600
13132a487166
148d69c7088
1552637b31c
hex31466d720

13227185952 has 162 divisors, whose sum is σ = 39215784699. Its totient is φ = 4391496000.

The previous prime is 13227185947. The next prime is 13227185953. The reversal of 13227185952 is 25958172231.

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.

13227185952 is a `hidden beast` number, since 1 + 32 + 27 + 1 + 8 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6613592976 + 6613592976 = 81324^2 + 81324^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81324.

It is a super-2 number, since 2×132271859522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13227185898 and 13227185907.

It is not an unprimeable number, because it can be changed into a prime (13227185953) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52697827 + ... + 52698077.

Almost surely, 213227185952 is an apocalyptic number.

13227185952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13227185952

13227185952 is an abundant number, since it is smaller than the sum of its proper divisors (25988598747).

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

13227185952 is an frugal number, since it uses more digits than its factorization.

13227185952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 256 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 13227185952 in words is "thirteen billion, two hundred twenty-seven million, one hundred eighty-five thousand, nine hundred fifty-two".