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13366134544 = 247241292
BaseRepresentation
bin11000111001010111…
…10000011100010000
31021111111201222122011
430130223300130100
5204333212301134
610050150352304
7652140161200
oct143453603420
937444658564
1013366134544
11573991a794
12271035b694
1313501b6a69
1490b236400
15533676264
hex31caf0710

13366134544 has 45 divisors (see below), whose sum is σ = 30132246357. Its totient is φ = 5726956032.

The previous prime is 13366134493. The next prime is 13366134547. The reversal of 13366134544 is 44543166331.

The square root of 13366134544 is 115612.

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

It can be written as a sum of positive squares in only one way, i.e., 7393936144 + 5972198400 = 85988^2 + 77280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13366134497 and 13366134506.

It is not an unprimeable number, because it can be changed into a prime (13366134547) 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, 3235072 + ... + 3239200.

Almost surely, 213366134544 is an apocalyptic number.

13366134544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13366134544 is the 115612-nd square number.

It is an amenable number.

13366134544 is an abundant number, since it is smaller than the sum of its proper divisors (16766111813).

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

13366134544 is an frugal number, since it uses more digits than its factorization.

13366134544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 4138 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The spelling of 13366134544 in words is "thirteen billion, three hundred sixty-six million, one hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4129 8258 16516 28903 33032 57806 66064 115612 202321 231224 404642 462448 809284 1618568 3237136 17048641 34097282 68194564 119340487 136389128 238680974 272778256 477361948 835383409 954723896 1670766818 1909447792 3341533636 6683067272 13366134544