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10555506541 = 2331137108061
BaseRepresentation
bin10011101010010100…
…00011111101101101
31000020122001021211201
421311022003331231
5133104202202131
64503225045501
7522401216356
oct116512037555
930218037751
1010555506541
114527343328
122067026891
13cc2b08178
14721c46d2d
1541ba3c761
hex275283f6d

10555506541 has 16 divisors (see below), whose sum is σ = 11452843008. Its totient is φ = 9699465600.

The previous prime is 10555506529. The next prime is 10555506547. The reversal of 10555506541 is 14560555501.

It is a cyclic number.

It is not a de Polignac number, because 10555506541 - 25 = 10555506509 is a prime.

It is a super-2 number, since 2×105555065412 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10555506541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555506547) 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, 43651 + ... + 151711.

It is an arithmetic number, because the mean of its divisors is an integer number (715802688).

Almost surely, 210555506541 is an apocalyptic number.

It is an amenable number.

10555506541 is a deficient number, since it is larger than the sum of its proper divisors (897336467).

10555506541 is a wasteful number, since it uses less digits than its factorization.

10555506541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108252.

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 10555506541 in words is "ten billion, five hundred fifty-five million, five hundred six thousand, five hundred forty-one".

Divisors: 1 23 31 137 713 3151 4247 97681 108061 2485403 3349891 14804357 77047493 340500211 458935067 10555506541