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3686874516 = 223313232931127
BaseRepresentation
bin1101101111000001…
…0011110110010100
3100111221111122001000
43123300103312110
530022314441031
61405502303300
7160235626203
oct33360236624
910457448030
103686874516
111622165436
1286a887b30
13469aa9570
1426d92523a
15168a223e6
hexdbc13d94

3686874516 has 384 divisors, whose sum is σ = 11560550400. Its totient is φ = 1005903360.

The previous prime is 3686874491. The next prime is 3686874517. The reversal of 3686874516 is 6154786863.

3686874516 is a `hidden beast` number, since 3 + 68 + 68 + 7 + 4 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686874517) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 29030445 + ... + 29030571.

It is an arithmetic number, because the mean of its divisors is an integer number (30105600).

Almost surely, 23686874516 is an apocalyptic number.

3686874516 is a gapful number since it is divisible by the number (36) 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 3686874516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780275200).

3686874516 is an abundant number, since it is smaller than the sum of its proper divisors (7873675884).

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

3686874516 is a wasteful number, since it uses less digits than its factorization.

3686874516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3686874516 is about 60719.6386352883. The cubic root of 3686874516 is about 1544.8492943772.

It can be divided in two parts, 368 and 6874516, that added together give a square (6874884 = 26222).

The spelling of 3686874516 in words is "three billion, six hundred eighty-six million, eight hundred seventy-four thousand, five hundred sixteen".