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2665761536656 = 2471257492
BaseRepresentation
bin100110110010101011110…
…001001111101010010000
3100102211210111122002200001
4212302223301033222100
5322133434423133111
65400344533135344
7363411025123531
oct46625361175220
910384714562601
102665761536656
119385a7989189
1237078618a554
131644c34b423a
1493048880688
15495212d01c1
hex26cabc4fa90

2665761536656 has 45 divisors (see below), whose sum is σ = 5239594203753. Its totient is φ = 1313879219520.

The previous prime is 2665761536597. The next prime is 2665761536657. The reversal of 2665761536656 is 6566351675662.

The square root of 2665761536656 is 1632716.

It is a perfect power (a square), and thus also a powerful number.

2665761536656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45248096656 + 2620513440000 = 212716^2 + 1618800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2665761536657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 463688470 + ... + 463694218.

Almost surely, 22665761536656 is an apocalyptic number.

2665761536656 is the 1632716-th square number.

It is an amenable number.

2665761536656 is a deficient number, since it is larger than the sum of its proper divisors (2573832667097).

2665761536656 is an frugal number, since it uses more digits than its factorization.

2665761536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 5822 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 64.

Multiplying 2665761536656 by its sum of digits (64), we get a square (170608738345984 = 130617282).

The spelling of 2665761536656 in words is "two trillion, six hundred sixty-five billion, seven hundred sixty-one million, five hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 71 142 284 568 1136 5041 5749 10082 11498 20164 22996 40328 45992 80656 91984 408179 816358 1632716 3265432 6530864 28980709 33051001 57961418 66102002 115922836 132204004 231845672 264408008 463691344 528816016 2346621071 4693242142 9386484284 18772968568 37545937136 166610096041 333220192082 666440384164 1332880768328 2665761536656