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10559001049 = 21124872
BaseRepresentation
bin10011101010101110…
…11001000111011001
31000020212121211101221
421311113121013121
5133111101013144
64503432012041
7522443012422
oct116527310731
930225554357
1010559001049
11452930a853
122068231021
13cc375c91c
147224b6649
1541beccd84
hex2755d91d9

10559001049 has 9 divisors (see below), whose sum is σ = 10631110581. Its totient is φ = 10487379420.

The previous prime is 10559000993. The next prime is 10559001067. The reversal of 10559001049 is 94010095501.

It is a happy number.

The square root of 10559001049 is 102757.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10559001049 - 217 = 10558869977 is a prime.

It is a super-2 number, since 2×105590010492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10559001149) 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 8 ways as a sum of consecutive naturals, for example, 21681484 + ... + 21681970.

It is an arithmetic number, because the mean of its divisors is an integer number (1181234509).

Almost surely, 210559001049 is an apocalyptic number.

10559001049 is the 102757-th square number.

10559001049 is the 51379-th centered octagonal number.

It is an amenable number.

10559001049 is a deficient number, since it is larger than the sum of its proper divisors (72109532).

10559001049 is an frugal number, since it uses more digits than its factorization.

10559001049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

Multiplying 10559001049 by its product of nonzero digits (8100), we get a square (85527908496900 = 92481302).

The spelling of 10559001049 in words is "ten billion, five hundred fifty-nine million, one thousand, forty-nine".

Divisors: 1 211 487 44521 102757 237169 21681727 50042659 10559001049