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10506065336 = 2313415941761
BaseRepresentation
bin10011100100011010…
…11101010110111000
31000010012000102020222
421302031131112320
5133004023042321
64454301235212
7521231040044
oct116215352670
930105012228
1010506065336
114501444428
122052562b08
13cb57b7210
14719457024
154175233ab
hex27235d5b8

10506065336 has 64 divisors (see below), whose sum is σ = 22100450400. Its totient is φ = 4650393600.

The previous prime is 10506065329. The next prime is 10506065341. The reversal of 10506065336 is 63356060501.

It is a super-2 number, since 2×105060653362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506065296 and 10506065305.

It is a congruent number.

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, 230696 + ... + 272456.

Almost surely, 210506065336 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 10506065336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050225200).

10506065336 is an abundant number, since it is smaller than the sum of its proper divisors (11594385064).

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

10506065336 is a wasteful number, since it uses less digits than its factorization.

10506065336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41880 (or 41876 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 10506065336 in words is "ten billion, five hundred six million, sixty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 41 52 59 82 104 118 164 236 328 472 533 767 1066 1534 2132 2419 3068 4264 4838 6136 9676 19352 31447 41761 62894 83522 125788 167044 251576 334088 542893 1085786 1712201 2171572 2463899 3424402 4343144 4927798 6848804 9855596 13697608 19711192 22258613 32030687 44517226 64061374 89034452 101019859 128122748 178068904 202039718 256245496 404079436 808158872 1313258167 2626516334 5253032668 10506065336