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10132068912 = 2437414211747
BaseRepresentation
bin10010110111110101…
…10001101000110000
3222011010021102121120
421123322301220300
5131222302201122
64353221222240
7506040110340
oct113372615060
928133242546
1010132068912
11432a31a379
121b69261980
13c5617b864
146c1900d20
153e479975c
hex25beb1a30

10132068912 has 160 divisors (see below), whose sum is σ = 30733699584. Its totient is φ = 2815948800.

The previous prime is 10132068841. The next prime is 10132068941. The reversal of 10132068912 is 21986023101.

10132068912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5798823 + ... + 5800569.

Almost surely, 210132068912 is an apocalyptic number.

10132068912 is a gapful number since it is divisible by the number (12) 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 10132068912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366849792).

10132068912 is an abundant number, since it is smaller than the sum of its proper divisors (20601630672).

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

10132068912 is a wasteful number, since it uses less digits than its factorization.

10132068912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 10132068912 in words is "ten billion, one hundred thirty-two million, sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 421 492 574 656 842 861 984 1148 1263 1684 1722 1747 1968 2296 2526 2947 3368 3444 3494 4592 5052 5241 5894 6736 6888 6988 8841 10104 10482 11788 12229 13776 13976 17261 17682 20208 20964 23576 24458 27952 34522 35364 36687 41928 47152 48916 51783 69044 70728 71627 73374 83856 97832 103566 120827 138088 141456 143254 146748 195664 207132 214881 241654 276176 286508 293496 362481 414264 429762 483308 501389 573016 586992 724962 735487 828528 859524 966616 1002778 1146032 1449924 1470974 1504167 1719048 1933232 2005556 2206461 2899848 2941948 3008334 3438096 4011112 4412922 5148409 5799696 5883896 6016668 8022224 8825844 10296818 11767792 12033336 15445227 17651688 20593636 24066672 30154967 30890454 35303376 41187272 60309934 61780908 82374544 90464901 120619868 123561816 180929802 211084769 241239736 247123632 361859604 422169538 482479472 633254307 723719208 844339076 1266508614 1447438416 1688678152 2533017228 3377356304 5066034456 10132068912