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9978826368 = 273723161407
BaseRepresentation
bin10010100101100100…
…01100111010000000
3221202102220220100210
421102302030322000
5130414034420433
64330104514120
7502166424150
oct112262147200
927672826323
109978826368
114260872a45
121b25a7b940
13c304b5ab4
146a9410760
153d60c9463
hex252c8ce80

9978826368 has 128 divisors (see below), whose sum is σ = 31610142720. Its totient is φ = 2727115776.

The previous prime is 9978826367. The next prime is 9978826387. The reversal of 9978826368 is 8636288799.

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

It is a super-4 number, since 4×99788263684 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9978826299 and 9978826308.

It is not an unprimeable number, because it can be changed into a prime (9978826367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18880 + ... + 142527.

It is an arithmetic number, because the mean of its divisors is an integer number (246954240).

Almost surely, 29978826368 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 9978826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805071360).

9978826368 is an abundant number, since it is smaller than the sum of its proper divisors (21631316352).

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

9978826368 is a wasteful number, since it uses less digits than its factorization.

9978826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161454 (or 161442 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 66.

The square root of 9978826368 is about 99894.0757402560. The cubic root of 9978826368 is about 2152.9130419890.

The spelling of 9978826368 in words is "nine billion, nine hundred seventy-eight million, eight hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 20608 30912 61824 161407 322814 484221 645628 968442 1129849 1291256 1936884 2259698 2582512 3389547 3712361 3873768 4519396 5165024 6779094 7424722 7747536 9038792 10330048 11137083 13558188 14849444 15495072 18077584 20660096 22274166 25986527 27116376 29698888 30990144 36155168 44548332 51973054 54232752 59397776 61980288 72310336 77959581 89096664 103946108 108465504 118795552 144620672 155919162 178193328 207892216 216931008 237591104 311838324 356386656 415784432 433862016 475182208 623676648 712773312 831568864 1247353296 1425546624 1663137728 2494706592 3326275456 4989413184 9978826368