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13677413652 = 22337313071901
BaseRepresentation
bin11001011110011110…
…01100010100010100
31022022012110121022000
430233033030110110
5211002404214102
610141110235300
7662640045360
oct145717142424
938265417260
1013677413652
1158895a8351
122798655b30
13139c833696
1493a7042a0
15550b6201c
hex32f3cc514

13677413652 has 192 divisors, whose sum is σ = 41991290880. Its totient is φ = 3767472000.

The previous prime is 13677413627. The next prime is 13677413731. The reversal of 13677413652 is 25631477631.

13677413652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13677413598 and 13677413607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7193902 + ... + 7195802.

It is an arithmetic number, because the mean of its divisors is an integer number (218704640).

Almost surely, 213677413652 is an apocalyptic number.

13677413652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13677413652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995645440).

13677413652 is an abundant number, since it is smaller than the sum of its proper divisors (28313877228).

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

13677413652 is a wasteful number, since it uses less digits than its factorization.

13677413652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

It can be divided in two parts, 136774 and 13652, that added together give a triangular number (150426 = T548).

The spelling of 13677413652 in words is "thirteen billion, six hundred seventy-seven million, four hundred thirteen thousand, six hundred fifty-two".