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820012849640 = 235291642143049
BaseRepresentation
bin10111110111011001001…
…00110001100111101000
32220101121002211211121222
423323230210301213220
5101413341242142030
61424413025121212
7113146453134305
oct13735444614750
92811532754558
10820012849640
1129684696a956
12112b10789208
135c433202c3a
142b9902340ac
15164e524a3e5
hexbeec9319e8

820012849640 has 64 divisors (see below), whose sum is σ = 1908811170000. Its totient is φ = 316667975680.

The previous prime is 820012849637. The next prime is 820012849693. The reversal of 820012849640 is 46948210028.

It can be written as a sum of positive squares in 8 ways, for example, as 277984126564 + 542028723076 = 527242^2 + 736226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 820012849591 and 820012849600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19026836 + ... + 19069884.

Almost surely, 2820012849640 is an apocalyptic number.

It is an amenable number.

820012849640 is an abundant number, since it is smaller than the sum of its proper divisors (1088798320360).

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

820012849640 is a wasteful number, since it uses less digits than its factorization.

820012849640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59510 (or 59506 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 820012849640 in words is "eight hundred twenty billion, twelve million, eight hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 16421 32842 43049 65684 82105 86098 131368 164210 172196 215245 328420 344392 430490 476209 656840 860980 952418 1248421 1721960 1904836 2381045 2496842 3809672 4762090 4993684 6242105 9524180 9987368 12484210 19048360 24968420 49936840 706907629 1413815258 2827630516 3534538145 5655261032 7069076290 14138152580 20500321241 28276305160 41000642482 82001284964 102501606205 164002569928 205003212410 410006424820 820012849640