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3829664136 = 2332916333757
BaseRepresentation
bin1110010001000100…
…0000100110001000
3100212220012002120110
43210101000212020
530320343223021
61432002554320
7163621415364
oct34421004610
910786162513
103829664136
111695822391
128aa6689a0
1349055256c
142848942a4
1517632a476
hexe4440988

3829664136 has 64 divisors (see below), whose sum is σ = 9965361600. Its totient is φ = 1224937728.

The previous prime is 3829664131. The next prime is 3829664141. The reversal of 3829664136 is 6314669283.

It is an interprime number because it is at equal distance from previous prime (3829664131) and next prime (3829664141).

It is not an unprimeable number, because it can be changed into a prime (3829664131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96570 + ... + 130326.

It is an arithmetic number, because the mean of its divisors is an integer number (155708775).

Almost surely, 23829664136 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 3829664136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982680800).

3829664136 is an abundant number, since it is smaller than the sum of its proper divisors (6135697464).

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

3829664136 is a wasteful number, since it uses less digits than its factorization.

3829664136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33958 (or 33954 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 3829664136 is about 61884.2802010333. The cubic root of 3829664136 is about 1564.5408100019.

The spelling of 3829664136 in words is "three billion, eight hundred twenty-nine million, six hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 489 652 696 978 1304 1956 3912 4727 9454 14181 18908 28362 33757 37816 56724 67514 101271 113448 135028 202542 270056 405084 810168 978953 1957906 2936859 3915812 5502391 5873718 7831624 11004782 11747436 16507173 22009564 23494872 33014346 44019128 66028692 132057384 159569339 319138678 478708017 638277356 957416034 1276554712 1914832068 3829664136