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10412522440 = 2351728154493
BaseRepresentation
bin10011011001010001…
…00111101111001000
3222212122222221112021
421230220213233020
5132311101204230
64441120254224
7516013660165
oct115450475710
928778887467
1010412522440
114463663251
122027171374
13c9c2c47a8
1470ac6706c
1540e1e6c7a
hex26ca27bc8

10412522440 has 64 divisors (see below), whose sum is σ = 24895038960. Its totient is φ = 3905986560.

The previous prime is 10412522431. The next prime is 10412522447. The reversal of 10412522440 is 4422521401.

10412522440 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 8 ways, for example, as 5563071396 + 4849451044 = 74586^2 + 69638^2 .

It is not an unprimeable number, because it can be changed into a prime (10412522447) 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, 163834 + ... + 218326.

Almost surely, 210412522440 is an apocalyptic number.

10412522440 is a gapful number since it is divisible by the number (10) 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 10412522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447519480).

10412522440 is an abundant number, since it is smaller than the sum of its proper divisors (14482516520).

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

10412522440 is a wasteful number, since it uses less digits than its factorization.

10412522440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54802 (or 54798 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 10412522440 in words is "ten billion, four hundred twelve million, five hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 281 340 562 680 1124 1405 2248 2810 4777 5620 9554 11240 19108 23885 38216 47770 54493 95540 108986 191080 217972 272465 435944 544930 926381 1089860 1852762 2179720 3705524 4631905 7411048 9263810 15312533 18527620 30625066 37055240 61250132 76562665 122500264 153125330 260313061 306250660 520626122 612501320 1041252244 1301565305 2082504488 2603130610 5206261220 10412522440