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2684416752 = 243261305603
BaseRepresentation
bin1010000000000000…
…1111001011110000
320221002012111111200
42200000033023300
520444202314002
61122212211200
7123344110623
oct24000171360
96832174450
102684416752
111158313046
1262b009b00
1333a1bb7a4
141b6737dba
1510aa07b1c
hexa000f2f0

2684416752 has 60 divisors (see below), whose sum is σ = 7635821544. Its totient is φ = 880133760.

The previous prime is 2684416723. The next prime is 2684416753. The reversal of 2684416752 is 2576144862.

It is a junction number, because it is equal to n+sod(n) for n = 2684416698 and 2684416707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684416753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144018 + ... + 161585.

Almost surely, 22684416752 is an apocalyptic number.

It is an amenable number.

2684416752 is an abundant number, since it is smaller than the sum of its proper divisors (4951404792).

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

2684416752 is a wasteful number, since it uses less digits than its factorization.

2684416752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305678 (or 305669 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2684416752 is about 51811.3573649639. The cubic root of 2684416752 is about 1389.7925525862.

The spelling of 2684416752 in words is "two billion, six hundred eighty-four million, four hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 305603 611206 916809 1222412 1833618 2444824 2750427 3667236 4889648 5500854 7334472 11001708 14668944 18641783 22003416 37283566 44006832 55925349 74567132 111850698 149134264 167776047 223701396 298268528 335552094 447402792 671104188 894805584 1342208376 2684416752