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21601616077 = 232297319289
BaseRepresentation
bin10100000111100011…
…101000000011001101
32001202110020210110201
4110013203220003031
5323220003203302
613531301333501
71363210464346
oct240743500315
961673223421
1021601616077
119185604978
12422a407291
132063458162
14108ccbb0cd
15866688c87
hex5078e80cd

21601616077 has 24 divisors (see below), whose sum is σ = 23681561400. Its totient is φ = 19675611648.

The previous prime is 21601616051. The next prime is 21601616093. The reversal of 21601616077 is 77061610612.

It can be written as a sum of positive squares in 4 ways, for example, as 5698136196 + 15903479881 = 75486^2 + 126109^2 .

It is not a de Polignac number, because 21601616077 - 215 = 21601583309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21601616017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110249 + ... + 1129537.

It is an arithmetic number, because the mean of its divisors is an integer number (986731725).

Almost surely, 221601616077 is an apocalyptic number.

It is an amenable number.

21601616077 is a deficient number, since it is larger than the sum of its proper divisors (2079945323).

21601616077 is a wasteful number, since it uses less digits than its factorization.

21601616077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19437 (or 19414 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 21601616077 in words is "twenty-one billion, six hundred one million, six hundred sixteen thousand, seventy-seven".

Divisors: 1 23 29 73 529 667 1679 2117 15341 19289 38617 48691 443647 559381 1119893 1408097 10203881 12865763 32386231 40834813 295912549 744883313 939200699 21601616077