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10752110336 = 281121918269
BaseRepresentation
bin10100000001110000…
…00010111100000000
31000202022222210112202
422000320002330000
5134010020012321
64534531012332
7530306300312
oct120070027400
930668883482
1010752110336
114618316700
122100a3a0a8
131024773686
1473ddc37b2
1542de2570b
hex280e02f00

10752110336 has 108 divisors (see below), whose sum is σ = 24833680200. Its totient is φ = 4629841920.

The previous prime is 10752110333. The next prime is 10752110389. The reversal of 10752110336 is 63301125701.

It is a junction number, because it is equal to n+sod(n) for n = 10752110299 and 10752110308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752110333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579410 + ... + 597678.

Almost surely, 210752110336 is an apocalyptic number.

10752110336 is a gapful number since it is divisible by the number (16) 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 10752110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416840100).

10752110336 is an abundant number, since it is smaller than the sum of its proper divisors (14081569864).

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

10752110336 is a wasteful number, since it uses less digits than its factorization.

10752110336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18326 (or 18301 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 10752110336 in words is "ten billion, seven hundred fifty-two million, one hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 256 304 352 418 484 608 704 836 968 1216 1408 1672 1936 2299 2432 2816 3344 3872 4598 4864 6688 7744 9196 13376 15488 18269 18392 26752 30976 36538 36784 53504 73076 73568 146152 147136 200959 292304 294272 347111 401918 584608 588544 694222 803836 1169216 1388444 1607672 2210549 2338432 2776888 3215344 3818221 4421098 4676864 5553776 6430688 7636442 8842196 11107552 12861376 15272884 17684392 22215104 25722752 30545768 35368784 42000431 44430208 51445504 61091536 70737568 84000862 88860416 122183072 141475136 168001724 244366144 282950272 336003448 488732288 565900544 672006896 977464576 1344013792 2688027584 5376055168 10752110336