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6998399616 = 273137971759
BaseRepresentation
bin1101000010010001…
…10001101010000000
3200001201201112110210
412201020301222000
5103313042241431
63114235554120
7335266262265
oct64110615200
920051645423
106998399616
112a7146123a
1214338bb940
13876b95680
144a566126c
152ae5eed46
hex1a1231a80

6998399616 has 128 divisors (see below), whose sum is σ = 20055974400. Its totient is φ = 2149429248.

The previous prime is 6998399557. The next prime is 6998399657. The reversal of 6998399616 is 6169938996.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3977745 + ... + 3979503.

It is an arithmetic number, because the mean of its divisors is an integer number (156687300).

Almost surely, 26998399616 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 6998399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027987200).

6998399616 is an abundant number, since it is smaller than the sum of its proper divisors (13057574784).

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

6998399616 is a wasteful number, since it uses less digits than its factorization.

6998399616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2574 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 66.

The square root of 6998399616 is about 83656.4379829789. The cubic root of 6998399616 is about 1912.7853895441.

The spelling of 6998399616 in words is "six billion, nine hundred ninety-eight million, three hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 797 832 1248 1594 1664 1759 2391 2496 3188 3518 4782 4992 5277 6376 7036 9564 10361 10554 12752 14072 19128 20722 21108 22867 25504 28144 31083 38256 41444 42216 45734 51008 56288 62166 68601 76512 82888 84432 91468 102016 112576 124332 137202 153024 165776 168864 182936 225152 248664 274404 306048 331552 337728 365872 497328 548808 663104 675456 731744 994656 1097616 1326208 1401923 1463488 1989312 2195232 2803846 2926976 3978624 4205769 4390464 5607692 8411538 8780928 11215384 16823076 18224999 22430768 33646152 36449998 44861536 54674997 67292304 72899996 89723072 109349994 134584608 145799992 179446144 218699988 269169216 291599984 437399976 538338432 583199968 874799952 1166399936 1749599904 2332799872 3499199808 6998399616