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10528466688 = 283211174091
BaseRepresentation
bin10011100111000101…
…11010011100000000
31000011202011112010200
421303202322130000
5133030241413223
64500421325200
7521622330105
oct116342723400
930152145120
1010528466688
114513054943
122059b66800
13cba32b65c
1471c408aac
1541949aa43
hex2738ba700

10528466688 has 108 divisors (see below), whose sum is σ = 30390768408. Its totient is φ = 3505489920.

The previous prime is 10528466671. The next prime is 10528466699. The reversal of 10528466688 is 88666482501.

It is a super-2 number, since 2×105284666882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571523 + ... + 2575613.

Almost surely, 210528466688 is an apocalyptic number.

10528466688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10528466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195384204).

10528466688 is an abundant number, since it is smaller than the sum of its proper divisors (19862301720).

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

10528466688 is a wasteful number, since it uses less digits than its factorization.

10528466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10528466688 in words is "ten billion, five hundred twenty-eight million, four hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1117 1152 2234 2304 3351 4091 4468 6702 8182 8936 10053 12273 13404 16364 17872 20106 24546 26808 32728 35744 36819 40212 49092 53616 65456 71488 73638 80424 98184 107232 130912 142976 147276 160848 196368 214464 261824 285952 294552 321696 392736 428928 523648 589104 643392 785472 857856 1047296 1178208 1286784 1570944 2356416 2573568 3141888 4569647 4712832 9139294 9425664 13708941 18278588 27417882 36557176 41126823 54835764 73114352 82253646 109671528 146228704 164507292 219343056 292457408 329014584 438686112 584914816 658029168 877372224 1169829632 1316058336 1754744448 2632116672 3509488896 5264233344 10528466688