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13746056208 = 2433115435987
BaseRepresentation
bin11001100110101010…
…00010110000010000
31022110222122000011220
430303111002300100
5211122442244313
610152001405040
7664432356423
oct146325026020
938428560156
1013746056208
115914321535
1227b7639780
1313b0b18391
149458919ba
15556bc0823
hex333542c10

13746056208 has 80 divisors (see below), whose sum is σ = 36686032896. Its totient is φ = 4430597760.

The previous prime is 13746056171. The next prime is 13746056213. The reversal of 13746056208 is 80265064731.

It is a super-2 number, since 2×137460562082 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13746056208.

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 15 ways as a sum of consecutive naturals, for example, 2292991 + ... + 2298977.

Almost surely, 213746056208 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 13746056208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343016448).

13746056208 is an abundant number, since it is smaller than the sum of its proper divisors (22939976688).

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

13746056208 is a wasteful number, since it uses less digits than its factorization.

13746056208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13746056208 in words is "thirteen billion, seven hundred forty-six million, fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1543 3086 4629 5987 6172 9258 11974 12344 17961 18516 23948 24688 35922 37032 47833 47896 71844 74064 95666 95792 143499 143688 185597 191332 286998 287376 371194 382664 556791 573996 742388 765328 1113582 1147992 1484776 2227164 2295984 2969552 4454328 8908656 9237941 18475882 27713823 36951764 55427646 73903528 110855292 147807056 221710584 286376171 443421168 572752342 859128513 1145504684 1718257026 2291009368 3436514052 4582018736 6873028104 13746056208