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10545998712 = 23329343419
BaseRepresentation
bin10011101001001011…
…10010101101111000
31000012222011020112220
421310211302231320
5133044233424322
64502245204040
7522224336634
oct116445625570
930188136486
1010545998712
114521a39a17
122063a00620
13cc0b59632
1472088ddc4
1541acb055c
hex274972b78

10545998712 has 128 divisors (see below), whose sum is σ = 28008288000. Its totient is φ = 3307269504.

The previous prime is 10545998657. The next prime is 10545998759. The reversal of 10545998712 is 21789954501.

It is a super-2 number, since 2×105459987122 (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 31 ways as a sum of consecutive naturals, for example, 25169239 + ... + 25169657.

It is an arithmetic number, because the mean of its divisors is an integer number (218814750).

Almost surely, 210545998712 is an apocalyptic number.

10545998712 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 10545998712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004144000).

10545998712 is an abundant number, since it is smaller than the sum of its proper divisors (17462289288).

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

10545998712 is an equidigital number, since it uses as much as digits as its factorization.

10545998712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 10545998712 in words is "ten billion, five hundred forty-five million, nine hundred ninety-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 419 516 696 838 841 1032 1247 1257 1676 1682 2494 2514 2523 3352 3364 3741 4988 5028 5046 6728 7482 9976 10056 10092 12151 14964 18017 20184 24302 24389 29928 36034 36163 36453 48604 48778 54051 72068 72326 72906 73167 97208 97556 108102 108489 144136 144652 145812 146334 195112 216204 216978 289304 291624 292668 352379 432408 433956 522493 585336 704758 867912 1044986 1048727 1057137 1409516 1567479 2089972 2097454 2114274 2819032 3134958 3146181 4179944 4194908 4228548 6269916 6292362 8389816 8457096 10218991 12539832 12584724 15152297 20437982 25169448 30304594 30656973 40875964 45456891 60609188 61313946 81751928 90913782 121218376 122627892 181827564 245255784 363655128 439416613 878833226 1318249839 1757666452 2636499678 3515332904 5272999356 10545998712