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10056083575 = 5223471392677
BaseRepresentation
bin10010101110110001…
…11010100001110111
3221221211021222022211
421113120322201313
5131043324133300
64341504434251
7504125204626
oct112730724167
927854258284
1010056083575
1142a044047a
121b47918987
13c434c5915
146b57a16bd
153dcc8a4ba
hex25763a877

10056083575 has 48 divisors (see below), whose sum is σ = 13389143040. Its totient is φ = 7474389120.

The previous prime is 10056083561. The next prime is 10056083579. The reversal of 10056083575 is 57538065001.

It is not a de Polignac number, because 10056083575 - 217 = 10055952503 is a prime.

It is a super-2 number, since 2×100560835752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056083579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3755137 + ... + 3757813.

It is an arithmetic number, because the mean of its divisors is an integer number (278940480).

Almost surely, 210056083575 is an apocalyptic number.

10056083575 is a deficient number, since it is larger than the sum of its proper divisors (3333059465).

10056083575 is a wasteful number, since it uses less digits than its factorization.

10056083575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 10056083575 in words is "ten billion, fifty-six million, eighty-three thousand, five hundred seventy-five".

Divisors: 1 5 23 25 47 115 139 235 575 695 1081 1175 2677 3197 3475 5405 6533 13385 15985 27025 32665 61571 66925 79925 125819 150259 163325 307855 372103 629095 751295 1539275 1860515 2893837 3145475 3756475 8558369 9302575 14469185 17488841 42791845 72345925 87444205 213959225 402243343 437221025 2011216715 10056083575