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11628557541 = 321292061949
BaseRepresentation
bin10101101010001110…
…11011010011100101
31010000102011221002100
422311013123103211
5142303402320131
65201520202313
7561111052056
oct126507332345
933012157070
1011628557541
114a28021437
122306469399
1311342117a3
147c456c72d
15480d4d7e6
hex2b51db4e5

11628557541 has 6 divisors (see below), whose sum is σ = 16796805350. Its totient is φ = 7752371688.

The previous prime is 11628557537. The next prime is 11628557597. The reversal of 11628557541 is 14575582611.

11628557541 is a `hidden beast` number, since 1 + 16 + 28 + 5 + 575 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6221896641 + 5406660900 = 78879^2 + 73530^2 .

It is not a de Polignac number, because 11628557541 - 22 = 11628557537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628552541) 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 5 ways as a sum of consecutive naturals, for example, 646030966 + ... + 646030983.

Almost surely, 211628557541 is an apocalyptic number.

It is an amenable number.

11628557541 is a deficient number, since it is larger than the sum of its proper divisors (5168247809).

11628557541 is a wasteful number, since it uses less digits than its factorization.

11628557541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292061955 (or 1292061952 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The spelling of 11628557541 in words is "eleven billion, six hundred twenty-eight million, five hundred fifty-seven thousand, five hundred forty-one".

Divisors: 1 3 9 1292061949 3876185847 11628557541