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6988689408 = 21232572213
BaseRepresentation
bin1101000001000111…
…01111000000000000
3200001001110012120110
412200203233000000
5103303101030113
63113251511320
7335120610531
oct64043570000
920031405513
106988689408
112a66a29878
1214305b8540
13874b7599c
144a4254688
152ad832bc3
hex1a08ef000

6988689408 has 104 divisors (see below), whose sum is σ = 18715189968. Its totient is φ = 2319450112.

The previous prime is 6988689401. The next prime is 6988689493. The reversal of 6988689408 is 8049868896.

It is a super-4 number, since 4×69886894084 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6988689401) 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 7 ways as a sum of consecutive naturals, for example, 3156910 + ... + 3159122.

Almost surely, 26988689408 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 6988689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357594984).

6988689408 is an abundant number, since it is smaller than the sum of its proper divisors (11726500560).

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

6988689408 is a wasteful number, since it uses less digits than its factorization.

6988689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The square root of 6988689408 is about 83598.3816111293. The cubic root of 6988689408 is about 1911.9003233461.

The spelling of 6988689408 in words is "six billion, nine hundred eighty-eight million, six hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 512 514 768 771 1024 1028 1536 1542 2048 2056 2213 3072 3084 4096 4112 4426 6144 6168 6639 8224 8852 12288 12336 13278 16448 17704 24672 26556 32896 35408 49344 53112 65792 70816 98688 106224 131584 141632 197376 212448 263168 283264 394752 424896 526336 566528 568741 789504 849792 1052672 1133056 1137482 1579008 1699584 1706223 2266112 2274964 3158016 3399168 3412446 4532224 4549928 6798336 6824892 9064448 9099856 13596672 13649784 18199712 27193344 27299568 36399424 54599136 72798848 109198272 145597696 218396544 291195392 436793088 582390784 873586176 1164781568 1747172352 2329563136 3494344704 6988689408