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10345522128 = 2434145711503
BaseRepresentation
bin10011010001010010…
…00010001111010000
3222200222220222101020
421220221002033100
5132141423202003
64430324235440
7514241326044
oct115051021720
928628828336
1010345522128
114429860997
12200883bb80
13c8b466436
14701dc6024
154083aed53
hex268a423d0

10345522128 has 80 divisors (see below), whose sum is σ = 27440077056. Its totient is φ = 3356743680.

The previous prime is 10345522093. The next prime is 10345522129. The reversal of 10345522128 is 82122554301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345522129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893625 + ... + 905127.

Almost surely, 210345522128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345522128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720038528).

10345522128 is an abundant number, since it is smaller than the sum of its proper divisors (17094554928).

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

10345522128 is a wasteful number, since it uses less digits than its factorization.

10345522128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 10345522128 in words is "ten billion, three hundred forty-five million, five hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 457 492 656 914 984 1371 1828 1968 2742 3656 5484 7312 10968 11503 18737 21936 23006 34509 37474 46012 56211 69018 74948 92024 112422 138036 149896 184048 224844 276072 299792 449688 471623 552144 899376 943246 1414869 1886492 2829738 3772984 5256871 5659476 7545968 10513742 11318952 15770613 21027484 22637904 31541226 42054968 63082452 84109936 126164904 215531711 252329808 431063422 646595133 862126844 1293190266 1724253688 2586380532 3448507376 5172761064 10345522128