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10510245512 = 23131767831069
BaseRepresentation
bin10011100100111010…
…11001111010001000
31000010110212210101022
421302131121322020
5133011110324022
64454531012012
7521311420124
oct116235317210
930113783338
1010510245512
11450383a018
122053a3a008
13cb661bab0
14719c24584
15417a9bc42
hex272759e88

10510245512 has 128 divisors (see below), whose sum is σ = 23102755200. Its totient is φ = 4439052288.

The previous prime is 10510245497. The next prime is 10510245533. The reversal of 10510245512 is 21554201501.

10510245512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105102455122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9831314 + ... + 9832382.

It is an arithmetic number, because the mean of its divisors is an integer number (180490275).

Almost surely, 210510245512 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 10510245512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551377600).

10510245512 is an abundant number, since it is smaller than the sum of its proper divisors (12592509688).

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

10510245512 is a wasteful number, since it uses less digits than its factorization.

10510245512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 10510245512 in words is "ten billion, five hundred ten million, two hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 67 68 83 104 134 136 166 221 268 332 442 536 664 871 884 1069 1079 1139 1411 1742 1768 2138 2158 2278 2822 3484 4276 4316 4556 5561 5644 6968 8552 8632 9112 11122 11288 13897 14807 18173 18343 22244 27794 29614 36346 36686 44488 55588 59228 71623 72293 72692 73372 88727 94537 111176 118456 143246 144586 145384 146744 177454 189074 236249 286492 289172 354908 378148 472498 572984 578344 709816 756296 931099 944996 1153451 1217591 1228981 1508359 1862198 1889992 2306902 2435182 2457962 3016718 3724396 4613804 4870364 4915924 5944709 6033436 7448792 9227608 9740728 9831848 11889418 12066872 15828683 19608667 23778836 31657366 39217334 47557672 63314732 77281217 78434668 101060053 126629464 154562434 156869336 202120106 309124868 404240212 618249736 808480424 1313780689 2627561378 5255122756 10510245512