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2284715661696 = 27321322331109151
BaseRepresentation
bin100001001111110011101…
…010100101100110000000
322002102020202121001012100
4201033303222211212000
5244413044202133241
64505330041430400
7324031245461346
oct41176352454600
98072222531170
102284715661696
11800a40479536
1230a96279b400
131375a8970a00
147c81bb13996
153e66d90d9b6
hex213f3aa5980

2284715661696 has 1152 divisors, whose sum is σ = 7789904179200. Its totient is φ = 640493568000.

The previous prime is 2284715661671. The next prime is 2284715661703. The reversal of 2284715661696 is 6961665174822.

2284715661696 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 7 + 1 + 5 + 6 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22847156616962 (a number of 26 digits) contains 22 as substring.

Its product of digits (52254720) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15130567221 + ... + 15130567371.

It is an arithmetic number, because the mean of its divisors is an integer number (6762069600).

Almost surely, 22284715661696 is an apocalyptic number.

2284715661696 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 2284715661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894952089600).

2284715661696 is an abundant number, since it is smaller than the sum of its proper divisors (5505188517504).

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

2284715661696 is a wasteful number, since it uses less digits than its factorization.

2284715661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 332 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 2284715661696 in words is "two trillion, two hundred eighty-four billion, seven hundred fifteen million, six hundred sixty-one thousand, six hundred ninety-six".