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10326441424 = 2413149333197
BaseRepresentation
bin10011001111000000…
…01111110111010000
3222122200000120120111
421213200033313100
5132122032111144
64424403251104
7513620206135
oct114740176720
928580016514
1010326441424
11441a009312
122002379a94
13c87515590
146dd65a58c
15406891534
hex26780fdd0

10326441424 has 40 divisors (see below), whose sum is σ = 21691189800. Its totient is φ = 4734048768.

The previous prime is 10326441421. The next prime is 10326441457. The reversal of 10326441424 is 42414462301.

10326441424 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 714599824 + 9611841600 = 26732^2 + 98040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326441421) 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 7 ways as a sum of consecutive naturals, for example, 135607 + ... + 197590.

It is an arithmetic number, because the mean of its divisors is an integer number (542279745).

Almost surely, 210326441424 is an apocalyptic number.

It is an amenable number.

10326441424 is an abundant number, since it is smaller than the sum of its proper divisors (11364748376).

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

10326441424 is a wasteful number, since it uses less digits than its factorization.

10326441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333367 (or 333361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 10326441424 in words is "ten billion, three hundred twenty-six million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 596 1192 1937 2384 3874 7748 15496 30992 333197 666394 1332788 2665576 4331561 5331152 8663122 17326244 34652488 49646353 69304976 99292706 198585412 397170824 645402589 794341648 1290805178 2581610356 5163220712 10326441424