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3281069949696 = 283771131737
BaseRepresentation
bin101111101111101111000…
…000100100001100000000
3102121200000101222010000000
4233233233000210030000
5412224112401342241
610551145220000000
7456022654260420
oct57575700441400
912550011863000
103281069949696
1110555484a4000
1244ba87830000
131aa5328429c6
14b4b39cac480
155a535083eb6
hex2fbef024300

3281069949696 has 2304 divisors, whose sum is σ = 13427090288640. Its totient is φ = 780416778240.

The previous prime is 3281069949637. The next prime is 3281069949709. The reversal of 3281069949696 is 6969499601823.

3281069949696 is a `hidden beast` number, since 3 + 28 + 106 + 9 + 9 + 496 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×32810699496962 (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 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 255 ways as a sum of consecutive naturals, for example, 88677566190 + ... + 88677566226.

It is an arithmetic number, because the mean of its divisors is an integer number (5827730160).

Almost surely, 23281069949696 is an apocalyptic number.

3281069949696 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 3281069949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713545144320).

3281069949696 is an abundant number, since it is smaller than the sum of its proper divisors (10146020338944).

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

3281069949696 is an frugal number, since it uses more digits than its factorization.

3281069949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 3281069949696 in words is "three trillion, two hundred eighty-one billion, sixty-nine million, nine hundred forty-nine thousand, six hundred ninety-six".