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11616051601 = 711178873989
BaseRepresentation
bin10101101000101111…
…01110000110010001
31002222112122120011101
422310113232012101
5142242202122401
65200352144401
7560566544440
oct126427560621
932875576141
1011616051601
114a20a5a550
122302238101
13113175341b
147c2a34d57
1547ebcd101
hex2b45ee191

11616051601 has 16 divisors (see below), whose sum is σ = 15334254720. Its totient is φ = 8519028480.

The previous prime is 11616051569. The next prime is 11616051659. The reversal of 11616051601 is 10615061611.

11616051601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11616051601 - 25 = 11616051569 is a prime.

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 11616051601.

It is not an unprimeable number, because it can be changed into a prime (11616051101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4435686 + ... + 4438303.

It is an arithmetic number, because the mean of its divisors is an integer number (958390920).

Almost surely, 211616051601 is an apocalyptic number.

11616051601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11616051601 is a deficient number, since it is larger than the sum of its proper divisors (3718203119).

11616051601 is a wasteful number, since it uses less digits than its factorization.

11616051601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874024.

The product of its (nonzero) digits is 1080, while the sum is 28.

It can be divided in two parts, 116160 and 51601, that added together give a palindrome (167761).

The spelling of 11616051601 in words is "eleven billion, six hundred sixteen million, fifty-one thousand, six hundred one".

Divisors: 1 7 11 17 77 119 187 1309 8873989 62117923 97613879 150857813 683297153 1056004691 1659435943 11616051601