Search a number
-
+
3684164254596 = 2235721767113601
BaseRepresentation
bin110101100111001001010…
…011010011101110000100
3111001012110202000110100000
4311213021103103232010
5440330132022121341
611500252013521300
7530113011316500
oct65471123235604
914035422013300
103684164254596
1111a0499748481
124b60231a3230
13209552263a97
14ca458dc5300
1565c7844d8b6
hex359c94d3b84

3684164254596 has 864 divisors, whose sum is σ = 12199921598592. Its totient is φ = 965667225600.

The previous prime is 3684164254591. The next prime is 3684164254601. The reversal of 3684164254596 is 6954524614863.

It is a happy number.

3684164254596 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 16 + 4 + 25 + 4 + 596 = 666.

3684164254596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3684164254591) and next prime (3684164254601).

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

Its product of digits (149299200) is a multiple of the sum of its prime divisors (810).

It is not an unprimeable number, because it can be changed into a prime (3684164254591) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6130056696 + ... + 6130057296.

It is an arithmetic number, because the mean of its divisors is an integer number (14120279628).

Almost surely, 23684164254596 is an apocalyptic number.

3684164254596 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 3684164254596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099960799296).

3684164254596 is an abundant number, since it is smaller than the sum of its proper divisors (8515757343996).

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

3684164254596 is a wasteful number, since it uses less digits than its factorization.

3684164254596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 810 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 3684164254596 in words is "three trillion, six hundred eighty-four billion, one hundred sixty-four million, two hundred fifty-four thousand, five hundred ninety-six".