Search a number
-
+
13522532112 = 243293906473
BaseRepresentation
bin11001001100000000…
…10111011100010000
31021220102000210202200
430212000113130100
5210143232011422
610113454443200
7656046424605
oct144600273420
937812023680
1013522532112
11580a131581
122754803500
1313767158bb
14923d086ac
1554226b2ac
hex326017710

13522532112 has 30 divisors (see below), whose sum is σ = 37844309022. Its totient is φ = 4507510656.

The previous prime is 13522532087. The next prime is 13522532171. The reversal of 13522532112 is 21123522531.

13522532112 is a `hidden beast` number, since 13 + 5 + 2 + 2 + 532 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13484783376 + 37748736 = 116124^2 + 6144^2 .

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 5 ways as a sum of consecutive naturals, for example, 46953093 + ... + 46953380.

Almost surely, 213522532112 is an apocalyptic number.

13522532112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13522532112 is an abundant number, since it is smaller than the sum of its proper divisors (24321776910).

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

13522532112 is a wasteful number, since it uses less digits than its factorization.

13522532112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93906487 (or 93906478 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The spelling of 13522532112 in words is "thirteen billion, five hundred twenty-two million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 93906473 187812946 281719419 375625892 563438838 751251784 845158257 1126877676 1502503568 1690316514 2253755352 3380633028 4507510704 6761266056 13522532112