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10767049216 = 29711535153
BaseRepresentation
bin10100000011100010…
…00010001000000000
31000210101002202211121
422001301002020000
5134022331033331
64540223122024
7530550260020
oct120161021000
930711082747
1010767049216
11462579a490
122105a43314
1310278a4251
14741d91a80
154303c6c11
hex281c42200

10767049216 has 160 divisors (see below), whose sum is σ = 27332857728. Its totient is φ = 4115005440.

The previous prime is 10767049193. The next prime is 10767049217. The reversal of 10767049216 is 61294076701.

It is not an unprimeable number, because it can be changed into a prime (10767049217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086896 + ... + 2092048.

Almost surely, 210767049216 is an apocalyptic number.

10767049216 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 10767049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666428864).

10767049216 is an abundant number, since it is smaller than the sum of its proper divisors (16565808512).

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

10767049216 is an equidigital number, since it uses as much as digits as its factorization.

10767049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 10767049216 in words is "ten billion, seven hundred sixty-seven million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 128 154 176 212 224 256 308 352 371 424 448 512 583 616 704 742 848 896 1166 1232 1408 1484 1696 1792 2332 2464 2816 2968 3392 3584 4081 4664 4928 5153 5632 5936 6784 8162 9328 9856 10306 11872 13568 16324 18656 19712 20612 23744 27136 32648 36071 37312 39424 41224 47488 56683 65296 72142 74624 82448 94976 113366 130592 144284 149248 164896 189952 226732 261184 273109 288568 298496 329792 396781 453464 522368 546218 577136 659584 793562 906928 1044736 1092436 1154272 1319168 1587124 1813856 1911763 2089472 2184872 2308544 2638336 3004199 3174248 3627712 3823526 4369744 4617088 6008398 6348496 7255424 7647052 8739488 9234176 12016796 12696992 14510848 15294104 17478976 18468352 21029393 24033592 25393984 29021696 30588208 34957952 42058786 48067184 50787968 61176416 69915904 84117572 96134368 101575936 122352832 139831808 168235144 192268736 203151872 244705664 336470288 384537472 489411328 672940576 769074944 978822656 1345881152 1538149888 2691762304 5383524608 10767049216