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8957068380 = 223251316722921
BaseRepresentation
bin10000101011110001…
…00000010001011100
3212010020022012220100
420111320200101130
5121321002142010
64040445021100
7434651552661
oct102570402134
925106265810
108957068380
113887039057
12189b854790
13ac98cb280
1460d83ba68
1537654b2c0
hex215e2045c

8957068380 has 144 divisors (see below), whose sum is σ = 29436249024. Its totient is φ = 2191518720.

The previous prime is 8957068339. The next prime is 8957068453. The reversal of 8957068380 is 838607598.

It is a happy number.

8957068380 is a `hidden beast` number, since 8 + 9 + 570 + 68 + 3 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 379320 + ... + 402240.

It is an arithmetic number, because the mean of its divisors is an integer number (204418396).

Almost surely, 28957068380 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 8957068380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718124512).

8957068380 is an abundant number, since it is smaller than the sum of its proper divisors (20479180644).

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

8957068380 is a wasteful number, since it uses less digits than its factorization.

8957068380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23116 (or 23111 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8957068380 is about 94641.7898182404. The cubic root of 8957068380 is about 2076.7710919299.

The spelling of 8957068380 in words is "eight billion, nine hundred fifty-seven million, sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 167 180 195 234 260 334 390 468 501 585 668 780 835 1002 1170 1503 1670 2004 2171 2340 2505 3006 3340 4342 5010 6012 6513 7515 8684 10020 10855 13026 15030 19539 21710 22921 26052 30060 32565 39078 43420 45842 65130 68763 78156 91684 97695 114605 130260 137526 195390 206289 229210 275052 297973 343815 390780 412578 458420 595946 687630 825156 893919 1031445 1191892 1375260 1489865 1787838 2062890 2681757 2979730 3575676 3827807 4125780 4469595 5363514 5959460 7655614 8939190 10727028 11483421 13408785 15311228 17878380 19139035 22966842 26817570 34450263 38278070 45933684 49761491 53635140 57417105 68900526 76556140 99522982 114834210 137801052 149284473 172251315 199045964 229668420 248807455 298568946 344502630 447853419 497614910 597137892 689005260 746422365 895706838 995229820 1492844730 1791413676 2239267095 2985689460 4478534190 8957068380