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10556000056 = 2374119124071
BaseRepresentation
bin10011101010010111…
…11100011100111000
31000020122222100211001
421311023330130320
5133104314000211
64503243414344
7522405343240
oct116513743470
930218870731
1010556000056
114527650098
1220672243b4
13cc2c4b9a4
14721d34b20
1541bad8ac1
hex2752fc738

10556000056 has 64 divisors (see below), whose sum is σ = 23293992960. Its totient is φ = 4390368000.

The previous prime is 10556000053. The next prime is 10556000057. The reversal of 10556000056 is 65000065501.

It is a super-2 number, since 2×105560000562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10555999988 and 10556000033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556000051) 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 15 ways as a sum of consecutive naturals, for example, 426501 + ... + 450571.

It is an arithmetic number, because the mean of its divisors is an integer number (363968640).

Almost surely, 210556000056 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 10556000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646996480).

10556000056 is an abundant number, since it is smaller than the sum of its proper divisors (12737992904).

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

10556000056 is a wasteful number, since it uses less digits than its factorization.

10556000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24316 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 10556000056 its reverse (65000065501), we get a palindrome (75556065557).

The spelling of 10556000056 in words is "ten billion, five hundred fifty-six million, fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 41 56 82 164 191 287 328 382 574 764 1148 1337 1528 2296 2674 5348 7831 10696 15662 24071 31324 48142 54817 62648 96284 109634 168497 192568 219268 336994 438536 673988 986911 1347976 1973822 3947644 4597561 6908377 7895288 9195122 13816754 18390244 27633508 32182927 36780488 55267016 64365854 128731708 188500001 257463416 377000002 754000004 1319500007 1508000008 2639000014 5278000028 10556000056