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10428857544 = 2337311199603
BaseRepresentation
bin10011011011001101…
…11011110011001000
3222220210201212002010
421231212323303020
5132324241420134
64442502335520
7516302553330
oct115546736310
928823655063
1010428857544
114471900036
12203072a5a0
13ca27c3a31
1470d0ba0c0
15410871ce9
hex26d9bbcc8

10428857544 has 64 divisors (see below), whose sum is σ = 29892695040. Its totient is φ = 2970077760.

The previous prime is 10428857513. The next prime is 10428857567. The reversal of 10428857544 is 44575882401.

It is a happy number.

It is a super-3 number, since 3×104288575443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10428857493 and 10428857502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47554 + ... + 152049.

It is an arithmetic number, because the mean of its divisors is an integer number (467073360).

Almost surely, 210428857544 is an apocalyptic number.

10428857544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10428857544 is an abundant number, since it is smaller than the sum of its proper divisors (19463837496).

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

10428857544 is a wasteful number, since it uses less digits than its factorization.

10428857544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199930 (or 199926 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 48.

The spelling of 10428857544 in words is "ten billion, four hundred twenty-eight million, eight hundred fifty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1244 1866 2177 2488 3732 4354 6531 7464 8708 13062 17416 26124 52248 199603 399206 598809 798412 1197618 1397221 1596824 2395236 2794442 4191663 4790472 5588884 8383326 11177768 16766652 33533304 62076533 124153066 186229599 248306132 372459198 434535731 496612264 744918396 869071462 1303607193 1489836792 1738142924 2607214386 3476285848 5214428772 10428857544