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10281924048 = 2431123846667
BaseRepresentation
bin10011001001101100…
…11011010111010000
3222112120020212012210
421210312123113100
5132024133032143
64420133152120
7512536624644
oct114466332720
928476225183
1010281924048
1143a69727a0
121bab48b640
13c7b229836
146d778cc24
154029eb033
hex264d9b5d0

10281924048 has 80 divisors (see below), whose sum is σ = 30236207616. Its totient is φ = 2980264320.

The previous prime is 10281924047. The next prime is 10281924061. The reversal of 10281924048 is 84042918201.

10281924048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10281923997 and 10281924015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10281924047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 411190 + ... + 435477.

Almost surely, 210281924048 is an apocalyptic number.

It is an amenable number.

10281924048 is an abundant number, since it is smaller than the sum of its proper divisors (19954283568).

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

10281924048 is a wasteful number, since it uses less digits than its factorization.

10281924048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846712 (or 846706 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 10281924048 in words is "ten billion, two hundred eighty-one million, nine hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 846667 1693334 2540001 3386668 5080002 6773336 9313337 10160004 13546672 18626674 19473341 20320008 27940011 37253348 38946682 40640016 55880022 58420023 74506696 77893364 111760044 116840046 149013392 155786728 214206751 223520088 233680092 311573456 428413502 447040176 467360184 642620253 856827004 934720368 1285240506 1713654008 2570481012 3427308016 5140962024 10281924048