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6709944416 = 2571271491583
BaseRepresentation
bin1100011111111000…
…11010000001100000
3122022121221111022212
412033330122001200
5102220221210131
63025453221252
7325164405110
oct61774320140
918277844285
106709944416
11293365260a
121373191828
1382c1aa616
14479215040
15294121a2b
hex18ff1a060

6709944416 has 96 divisors (see below), whose sum is σ = 15328051200. Its totient is φ = 2832109056.

The previous prime is 6709944403. The next prime is 6709944419. The reversal of 6709944416 is 6144499076.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6709944419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237961 + ... + 4239543.

It is an arithmetic number, because the mean of its divisors is an integer number (159667200).

Almost surely, 26709944416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6709944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664025600).

6709944416 is an abundant number, since it is smaller than the sum of its proper divisors (8618106784).

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

6709944416 is a wasteful number, since it uses less digits than its factorization.

6709944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 6709944416 is about 81914.2503841670. The cubic root of 6709944416 is about 1886.1358689138.

The spelling of 6709944416 in words is "six billion, seven hundred nine million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 149 224 254 298 508 596 889 1016 1043 1192 1583 1778 2032 2086 2384 3166 3556 4064 4172 4768 6332 7112 8344 11081 12664 14224 16688 18923 22162 25328 28448 33376 37846 44324 50656 75692 88648 132461 151384 177296 201041 235867 264922 302768 354592 402082 471734 529844 605536 804164 943468 1059688 1407287 1608328 1651069 1886936 2119376 2814574 3216656 3302138 3773872 4238752 5629148 6433312 6604276 7547744 11258296 13208552 22516592 26417104 29955109 45033184 52834208 59910218 119820436 209685763 239640872 419371526 479281744 838743052 958563488 1677486104 3354972208 6709944416