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6997447996 = 22711177318307
BaseRepresentation
bin1101000010001010…
…01001010100111100
3200001122221012002121
412201011021110330
5103312321313441
63114203332324
7335255220010
oct64105112474
920048835077
106997447996
112a70971280
1214335210a4
13876921496
144a5494540
152ae4b2dd1
hex1a114953c

6997447996 has 96 divisors (see below), whose sum is σ = 16387564032. Its totient is φ = 2530621440.

The previous prime is 6997447991. The next prime is 6997448011.

6997447996 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997447991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373075 + ... + 391381.

It is an arithmetic number, because the mean of its divisors is an integer number (170703792).

Almost surely, 26997447996 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 6997447996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193782016).

6997447996 is an abundant number, since it is smaller than the sum of its proper divisors (9390116036).

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

6997447996 is a wasteful number, since it uses less digits than its factorization.

6997447996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18419 (or 18417 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 70.

The square root of 6997447996 is about 83650.7501221597. The cubic root of 6997447996 is about 1912.6986874673.

The spelling of 6997447996 in words is "six billion, nine hundred ninety-seven million, four hundred forty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 73 77 119 146 154 187 238 292 308 374 476 511 748 803 1022 1241 1309 1606 2044 2482 2618 3212 4964 5236 5621 8687 11242 13651 17374 18307 22484 27302 34748 36614 54604 73228 95557 128149 191114 201377 256298 311219 382228 402754 512596 622438 805508 1244876 1336411 1409639 2178533 2672822 2819278 3423409 4357066 5345644 5638556 6846818 8714132 9354877 13693636 14700521 18709754 22718987 23963863 29401042 37419508 45437974 47927726 58802084 90875948 95855452 102903647 159032909 205807294 249908857 318065818 411614588 499817714 636131636 999635428 1749361999 3498723998 6997447996