Search a number
-
+
3969495936 = 27337316779
BaseRepresentation
bin1110110010011001…
…1011001110000000
3101020122022021202000
43230212123032000
531112142332221
61453520024000
7200240105310
oct35446331600
911218267660
103969495936
11175774a05a
12929462000
134b3501183
14299293440
1518374be26
hexec99b380

3969495936 has 512 divisors, whose sum is σ = 14204928000. Its totient is φ = 1067489280.

The previous prime is 3969495931. The next prime is 3969495949. The reversal of 3969495936 is 6395949693.

3969495936 is a `hidden beast` number, since 39 + 6 + 9 + 4 + 9 + 593 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3969495931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50246745 + ... + 50246823.

It is an arithmetic number, because the mean of its divisors is an integer number (27744000).

Almost surely, 23969495936 is an apocalyptic number.

3969495936 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 3969495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102464000).

3969495936 is an abundant number, since it is smaller than the sum of its proper divisors (10235432064).

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

3969495936 is a wasteful number, since it uses less digits than its factorization.

3969495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its digits is 42515280, while the sum is 63.

The square root of 3969495936 is about 63003.9358770545. The cubic root of 3969495936 is about 1583.3555688943.

The spelling of 3969495936 in words is "three billion, nine hundred sixty-nine million, four hundred ninety-five thousand, nine hundred thirty-six".