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10227275064 = 2332373380819
BaseRepresentation
bin10011000011001011…
…11101010100111000
3222101202102101220100
421201211331110320
5131421140300224
64410501555400
7511304255316
oct114145752470
928352371810
1010227275064
114379037146
121b95115b60
13c6cb04366
146d04050b6
153ecd03ac9
hex26197d538

10227275064 has 48 divisors (see below), whose sum is σ = 27773202600. Its totient is φ = 3399943104.

The previous prime is 10227275063. The next prime is 10227275083. The reversal of 10227275064 is 46057272201.

It is a happy number.

10227275064 is a `hidden beast` number, since 102 + 27 + 27 + 506 + 4 = 666.

10227275064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227275063) 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 11 ways as a sum of consecutive naturals, for example, 163554 + ... + 217265.

Almost surely, 210227275064 is an apocalyptic number.

It is an amenable number.

10227275064 is an abundant number, since it is smaller than the sum of its proper divisors (17545927536).

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

10227275064 is a wasteful number, since it uses less digits than its factorization.

10227275064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381204 (or 381197 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10227275064 in words is "ten billion, two hundred twenty-seven million, two hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 1119 1492 2238 2984 3357 4476 6714 8952 13428 26856 380819 761638 1142457 1523276 2284914 3046552 3427371 4569828 6854742 9139656 13709484 27418968 142045487 284090974 426136461 568181948 852272922 1136363896 1278409383 1704545844 2556818766 3409091688 5113637532 10227275064