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10299218563264 = 265971269142811
BaseRepresentation
bin1001010111011111100101…
…0000111001000011000000
31100110121002020202011220011
42111313321100321003000
52322220244423011024
633523221245154304
72112044144226511
oct225677120710300
940417066664804
1010299218563264
113310968419334
1211a408355b994
1359929b103717
142786b0578a08
1512cd8dbe5094
hex95df94390c0

10299218563264 has 112 divisors (see below), whose sum is σ = 21155141433600. Its totient is φ = 4972438553600.

The previous prime is 10299218563219. The next prime is 10299218563273. The reversal of 10299218563264 is 46236581299201.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10299218563199 and 10299218563208.

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, 72046419 + ... + 72189229.

Almost surely, 210299218563264 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 10299218563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577570716800).

10299218563264 is an abundant number, since it is smaller than the sum of its proper divisors (10855922870336).

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

10299218563264 is a wasteful number, since it uses less digits than its factorization.

10299218563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143222 (or 143212 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 10299218563264 in words is "ten trillion, two hundred ninety-nine billion, two hundred eighteen million, five hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 71 118 142 236 269 284 472 538 568 944 1076 1136 1888 2152 2272 3776 4189 4304 4544 8378 8608 15871 16756 17216 19099 31742 33512 38198 63484 67024 76396 126968 134048 142811 152792 253936 268096 285622 305584 507872 571244 611168 1015744 1126841 1142488 1222336 2253682 2284976 4507364 4569952 8425849 9014728 9139904 10139581 16851698 18029456 20279162 33703396 36058912 38416159 40558324 67406792 72117824 76832318 81116648 134813584 153664636 162233296 269627168 307329272 324466592 539254336 598235279 614658544 648933184 1196470558 1229317088 2266553381 2392941116 2458634176 2727547289 4533106762 4785882232 5455094578 9066213524 9571764464 10910189156 18132427048 19143528928 21820378312 36264854096 38287057856 43640756624 72529708192 87281513248 145059416384 160925290051 174563026496 321850580102 643701160204 1287402320408 2574804640816 5149609281632 10299218563264