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13234658374809 = 3212126492
BaseRepresentation
bin1100000010010110111100…
…0111000111010010011001
31201212012222002122002001100
43000211233013013102121
53213314040020443214
644051530151542013
72534113113025044
oct300455707072231
951765862562040
1013234658374809
114242872697963
121598b7038a909
1375003b4b7c81
1433a7bd0c5c5b
1517e3e56a9309
hexc096f1c7499

13234658374809 has 9 divisors (see below), whose sum is σ = 19116744528063. Its totient is φ = 8823098307312.

The previous prime is 13234658374789. The next prime is 13234658374811. The reversal of 13234658374809 is 90847385643231.

It is a happy number.

The square root of 13234658374809 is 3637947.

It is a perfect power (a square), and thus also a powerful number.

13234658374809 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 6 + 583 + 7 + 48 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3937037734809 + 9297620640000 = 1984197^2 + 3049200^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-13234658374809 is a prime.

It is a super-2 number, since 2×132346583748092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13234658374009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10307517 + ... + 11520165.

It is a 1-persistent number, because it is pandigital, but 2⋅13234658374809 = 26469316749618 is not.

Almost surely, 213234658374809 is an apocalyptic number.

13234658374809 is the 3637947-th square number.

13234658374809 is the 1818974-th centered octagonal number.

It is an amenable number.

13234658374809 is a deficient number, since it is larger than the sum of its proper divisors (5882086153254).

13234658374809 is an frugal number, since it uses more digits than its factorization.

13234658374809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425304 (or 1212652 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 13234658374809 in words is "thirteen trillion, two hundred thirty-four billion, six hundred fifty-eight million, three hundred seventy-four thousand, eight hundred nine".

Divisors: 1 3 9 1212649 3637947 10913841 1470517597201 4411552791603 13234658374809