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11552025511 = 1365910511283
BaseRepresentation
bin10101100001000110…
…11110101110100111
31002211002011200212201
422300203132232213
5142124304304021
65150143555331
7556161411445
oct126043365647
932732150781
1011552025511
1149988a9824
1222a48bbb47
1311213c6a70
147b8329b95
15479282591
hex2b08deba7

11552025511 has 16 divisors (see below), whose sum is σ = 12481096320. Its totient is φ = 10628805600.

The previous prime is 11552025481. The next prime is 11552025599.

11552025511 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11552025511 - 27 = 11552025383 is a prime.

It is a super-2 number, since 2×115520255112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11552025511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552025311) 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, 9003276 + ... + 9004558.

It is an arithmetic number, because the mean of its divisors is an integer number (780068520).

Almost surely, 211552025511 is an apocalyptic number.

11552025511 is a deficient number, since it is larger than the sum of its proper divisors (929070809).

11552025511 is a wasteful number, since it uses less digits than its factorization.

11552025511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006.

The product of its (nonzero) digits is 2500, while the sum is 28.

The spelling of 11552025511 in words is "eleven billion, five hundred fifty-two million, twenty-five thousand, five hundred eleven".

Divisors: 1 13 659 1051 1283 8567 13663 16679 692609 845497 1348433 9003917 10991461 17529629 888617347 11552025511