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809767816641 = 32727325872
BaseRepresentation
bin10111100100010011110…
…11000100110111000001
32212102011010000020102100
423302021323010313001
5101231401030113031
61420000250341013
7112334541605400
oct13621173046701
92772133006370
10809767816641
11292469904a33
12110b3172a769
135b48c821b34
142b29b729637
15160e5ad9de6
hexbc89ec4dc1

809767816641 has 81 divisors (see below), whose sum is σ = 1381878503811. Its totient is φ = 455608286784.

The previous prime is 809767816567. The next prime is 809767816657. The reversal of 809767816641 is 146618767908.

The square root of 809767816641 is 899871.

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

809767816641 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., 459663660225 + 350104156416 = 677985^2 + 591696^2 .

It is not a de Polignac number, because 809767816641 - 29 = 809767816129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (809767816681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1379501950 + ... + 1379502536.

Almost surely, 2809767816641 is an apocalyptic number.

809767816641 is the 899871-st square number.

809767816641 is the 449936-th centered octagonal number.

It is an amenable number.

809767816641 is a deficient number, since it is larger than the sum of its proper divisors (572110687170).

809767816641 is an frugal number, since it uses more digits than its factorization.

809767816641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 809767816641 in words is "eight hundred nine billion, seven hundred sixty-seven million, eight hundred sixteen thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 587 657 1533 1761 3577 4109 4599 5283 5329 10731 12327 15987 28763 32193 36981 37303 42851 47961 86289 111909 128553 258867 261121 299957 335727 344569 385659 783363 899871 1033707 2099699 2350089 2411983 2699613 3101121 3128123 6299097 7235949 9384369 16883881 18897291 21707847 21896861 25153537 28153107 50651643 65690583 75460611 151954929 153278027 176074759 197071749 226381833 459834081 528224277 1232523313 1379502243 1584672831 1836208201 3697569939 5508624603 11092709817 12853457407 16525873809 38560372221 89974201849 115681116663 269922605547 809767816641