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10282526440 = 235376947653
BaseRepresentation
bin10011001001110001…
…01110011011101000
3222112121101110112121
421210320232123220
5132024311321230
64420154121024
7512545014124
oct114470563350
928477343477
1010282526440
1143a724433a
121bab720174
13c7b3aaa94
146d78a8584
15402ab977a
hex264e2e6e8

10282526440 has 32 divisors (see below), whose sum is σ = 23760976680. Its totient is φ = 4001847552.

The previous prime is 10282526411. The next prime is 10282526453. The reversal of 10282526440 is 4462528201.

10282526440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9445118596 + 837407844 = 97186^2 + 28938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10282526396 and 10282526405.

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 7 ways as a sum of consecutive naturals, for example, 3472347 + ... + 3475306.

Almost surely, 210282526440 is an apocalyptic number.

10282526440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10282526440 is an abundant number, since it is smaller than the sum of its proper divisors (13478450240).

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

10282526440 is a wasteful number, since it uses less digits than its factorization.

10282526440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947701 (or 6947697 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 10282526440 in words is "ten billion, two hundred eighty-two million, five hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 6947653 13895306 27790612 34738265 55581224 69476530 138953060 257063161 277906120 514126322 1028252644 1285315805 2056505288 2570631610 5141263220 10282526440