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10056060500 = 225331096469
BaseRepresentation
bin10010101110110001…
…10100111001010100
3221221211020210200012
421113120310321110
5131043322414000
64341504135352
7504125050433
oct112730647124
927854223605
1010056060500
1142a0425102
121b47907558
13c434b8275
146b579711a
153dcc83735
hex257634e54

10056060500 has 48 divisors (see below), whose sum is σ = 21972896400. Its totient is φ = 4020508800.

The previous prime is 10056060499. The next prime is 10056060527. The reversal of 10056060500 is 506065001.

10056060500 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 7645054096 + 2411006404 = 87436^2 + 49102^2 .

It is a super-2 number, since 2×100560605002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1551266 + ... + 1557734.

It is an arithmetic number, because the mean of its divisors is an integer number (457768675).

Almost surely, 210056060500 is an apocalyptic number.

10056060500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056060500 is an abundant number, since it is smaller than the sum of its proper divisors (11916835900).

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

10056060500 is a wasteful number, since it uses less digits than its factorization.

10056060500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10056060500 in words is "ten billion, fifty-six million, sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 3109 6218 6469 12436 12938 15545 25876 31090 32345 62180 64690 77725 129380 155450 161725 310900 323450 388625 646900 777250 808625 1554500 1617250 3234500 20112121 40224242 80448484 100560605 201121210 402242420 502803025 1005606050 2011212100 2514015125 5028030250 10056060500