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8980298228772 = 22321323383899817
BaseRepresentation
bin1000001010101110001101…
…1111000110010000100100
31011210111201102110011001200
42002223203133012100210
52134113122321310042
631033254141122500
71614543106323063
oct202534337062044
934714642404050
108980298228772
112952583263872
121010537859430
13501ab92128b0
142309122721da
151088e8c1ec4c
hex82ae37c6424

8980298228772 has 144 divisors (see below), whose sum is σ = 24556715230320. Its totient is φ = 2750701400064.

The previous prime is 8980298228753. The next prime is 8980298228777. The reversal of 8980298228772 is 2778228920898.

It can be written as a sum of positive squares in 8 ways, for example, as 368808431616 + 8611489797156 = 607296^2 + 2934534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8980298228772.

It is not an unprimeable number, because it can be changed into a prime (8980298228777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914765208 + ... + 914775024.

It is an arithmetic number, because the mean of its divisors is an integer number (170532744655).

Almost surely, 28980298228772 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 8980298228772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278357615160).

8980298228772 is an abundant number, since it is smaller than the sum of its proper divisors (15576417001548).

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

8980298228772 is a wasteful number, since it uses less digits than its factorization.

8980298228772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18462 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 8980298228772 in words is "eight trillion, nine hundred eighty billion, two hundred ninety-eight million, two hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 233 234 466 468 699 932 1398 2097 2796 3029 4194 6058 8388 8389 9087 9817 12116 16778 18174 19634 25167 27261 29451 33556 36348 39268 50334 54522 58902 75501 88353 100668 109044 109057 117804 127621 151002 176706 218114 255242 302004 327171 353412 382863 436228 510484 654342 765726 981513 1148589 1308684 1531452 1954637 1963026 2287361 2297178 3909274 3926052 4574722 4594356 5863911 6862083 7818548 9149444 11727822 13724166 17591733 20586249 23455644 25410281 27448332 29735693 35183466 41172498 50820562 59471386 70366932 76230843 82344996 82354813 89207079 101641124 118942772 152461686 164709626 178414158 228692529 247064439 267621237 304923372 329419252 356828316 457385058 494128878 535242474 741193317 914770116 988257756 1070484948 1070612569 1482386634 2141225138 2964773268 3211837707 4282450276 6423675414 9635513121 12847350828 19188671429 19271026242 38377342858 38542052484 57566014287 76754685716 115132028574 172698042861 230264057148 249452728577 345396085722 498905457154 690792171444 748358185731 997810914308 1496716371462 2245074557193 2993432742924 4490149114386 8980298228772