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2004669831216 = 2431322961139697
BaseRepresentation
bin11101001010111111101…
…000100001100000110000
321002122101212221212002210
4131022333220201200300
5230321030434044331
64132533235412120
7264555405262233
oct35127750414060
97078355855083
102004669831216
117031a2949128
12284627a54040
13117068b91400
146d052b6741a
153722ce66446
hex1d2bfa21830

2004669831216 has 240 divisors, whose sum is σ = 5896250249760. Its totient is φ = 585784442880.

The previous prime is 2004669831211. The next prime is 2004669831221. The reversal of 2004669831216 is 6121389664002.

It is an interprime number because it is at equal distance from previous prime (2004669831211) and next prime (2004669831221).

It is a super-2 number, since 2×20046698312162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2004669831211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14280280 + ... + 14419976.

It is an arithmetic number, because the mean of its divisors is an integer number (24567709374).

Almost surely, 22004669831216 is an apocalyptic number.

2004669831216 is a gapful number since it is divisible by the number (26) 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 2004669831216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948125124880).

2004669831216 is an abundant number, since it is smaller than the sum of its proper divisors (3891580418544).

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

2004669831216 is a wasteful number, since it uses less digits than its factorization.

2004669831216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139824 (or 139805 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 2004669831216 in words is "two trillion, four billion, six hundred sixty-nine million, eight hundred thirty-one thousand, two hundred sixteen".