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13782350413 = 131559680039
BaseRepresentation
bin11001101010111110…
…11111101001001101
31022120111220221110201
430311133133221031
5211211240203123
610155335333501
7665353021426
oct146537375115
938514827421
1013782350413
115932860947
122807821291
1313b84b5240
1494a61c64d
15559e8e5ad
hex3357dfa4d

13782350413 has 8 divisors (see below), whose sum is σ = 14852073600. Its totient is φ = 12713990448.

The previous prime is 13782350401. The next prime is 13782350423. The reversal of 13782350413 is 31405328731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13782350413 - 233 = 5192415821 is a prime.

It is a super-3 number, since 3×137823504133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782350423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319753 + ... + 360286.

It is an arithmetic number, because the mean of its divisors is an integer number (1856509200).

Almost surely, 213782350413 is an apocalyptic number.

13782350413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13782350413 is a deficient number, since it is larger than the sum of its proper divisors (1069723187).

13782350413 is a wasteful number, since it uses less digits than its factorization.

13782350413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681611.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 13782350413 in words is "thirteen billion, seven hundred eighty-two million, three hundred fifty thousand, four hundred thirteen".

Divisors: 1 13 1559 20267 680039 8840507 1060180801 13782350413