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10556000010 = 2325257456377
BaseRepresentation
bin10011101010010111…
…11100011100001010
31000020122222100202100
421311023330130022
5133104314000020
64503243414230
7522405343143
oct116513743412
930218870670
1010556000010
114527650056
122067224376
13cc2c4b96a
14721d34aca
1541bad8a90
hex2752fc70a

10556000010 has 48 divisors (see below), whose sum is σ = 27552452616. Its totient is φ = 2803974144.

The previous prime is 10556000003. The next prime is 10556000017. The reversal of 10556000010 is 1000065501.

10556000010 is a `hidden beast` number, since 1 + 0 + 55 + 600 + 0 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (10556000003) and next prime (10556000017).

It can be written as a sum of positive squares in 4 ways, for example, as 8149214529 + 2406785481 = 90273^2 + 49059^2 .

It is a super-2 number, since 2×105560000102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10556000017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205059 + ... + 251318.

Almost surely, 210556000010 is an apocalyptic number.

10556000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10556000010 is an abundant number, since it is smaller than the sum of its proper divisors (16996452606).

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

10556000010 is a wasteful number, since it uses less digits than its factorization.

10556000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456647 (or 456644 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10556000010 its reverse (1000065501), we get a palindrome (11556065511).

The spelling of 10556000010 in words is "ten billion, five hundred fifty-six million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 7710 11565 23130 456377 912754 1369131 2281885 2738262 4107393 4563770 6845655 8214786 13691310 20536965 41073930 117288889 234577778 351866667 586444445 703733334 1055600001 1172888890 1759333335 2111200002 3518666670 5278000005 10556000010