Search a number
-
+
3331674699696 = 243571719378997
BaseRepresentation
bin110000011110110111010…
…010010111011110110000
3102210111122010201202200000
4300132313102113132300
5414041232210342241
611030314503230000
7462464001454620
oct60366722273660
912714563652600
103331674699696
111074a56569742
1245984b148300
131b2238982365
14b737aa60880
155b9e7a83eb6
hex307b74977b0

3331674699696 has 480 divisors, whose sum is σ = 12316646684160. Its totient is φ = 848756994048.

The previous prime is 3331674699649. The next prime is 3331674699719. The reversal of 3331674699696 is 6969964761333.

3331674699696 is a `hidden beast` number, since 3 + 331 + 67 + 4 + 69 + 96 + 96 = 666.

It is a super-2 number, since 2×33316746996962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8601270 + ... + 8980266.

It is an arithmetic number, because the mean of its divisors is an integer number (25659680592).

Almost surely, 23331674699696 is an apocalyptic number.

3331674699696 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 3331674699696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158323342080).

3331674699696 is an abundant number, since it is smaller than the sum of its proper divisors (8984971984464).

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

3331674699696 is a wasteful number, since it uses less digits than its factorization.

3331674699696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379063 (or 379045 counting only the distinct ones).

The product of its digits is 714256704, while the sum is 72.

The spelling of 3331674699696 in words is "three trillion, three hundred thirty-one billion, six hundred seventy-four million, six hundred ninety-nine thousand, six hundred ninety-six".