Search a number
-
+
13746324368 = 2472130113477
BaseRepresentation
bin11001100110101100…
…00100001110010000
31022111000010122000202
430303112010032100
5211123024334433
610152011234332
7664434554300
oct146326041620
938430118022
1013746324368
115914494a57
1227b77489a8
1313b0bb045a
14945921600
15556c24ee8
hex333584390

13746324368 has 60 divisors (see below), whose sum is σ = 31007945052. Its totient is φ = 5886316800.

The previous prime is 13746324353. The next prime is 13746324373. The reversal of 13746324368 is 86342364731.

It can be written as a sum of positive squares in 2 ways, for example, as 3249912064 + 10496412304 = 57008^2 + 102452^2 .

It is a super-2 number, since 2×137463243682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1013246 + ... + 1026722.

Almost surely, 213746324368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13746324368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503972526).

13746324368 is an abundant number, since it is smaller than the sum of its proper divisors (17261620684).

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

13746324368 is a wasteful number, since it uses less digits than its factorization.

13746324368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800 (or 14787 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 47.

The spelling of 13746324368 in words is "thirteen billion, seven hundred forty-six million, three hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1301 2602 5204 9107 10408 13477 18214 20816 26954 36428 53908 63749 72856 94339 107816 127498 145712 188678 215632 254996 377356 509992 660373 754712 1019984 1320746 1509424 2641492 5282984 10565968 17533577 35067154 70134308 122735039 140268616 245470078 280537232 490940156 859145273 981880312 1718290546 1963760624 3436581092 6873162184 13746324368