Search a number
-
+
549662097664 = 28463372
BaseRepresentation
bin1111111111110100110…
…10100000000100000000
31221112202220012200000001
413333322122200010000
533001201444111124
61100302234205344
754466065512161
oct7777232400400
91845686180001
10549662097664
111a2123a19519
128a640883854
133caa9babb94
141c864b15768
15e4709cdb44
hex7ffa6a0100

549662097664 has 27 divisors (see below), whose sum is σ = 1097200756477. Its totient is φ = 274825117696.

The previous prime is 549662097659. The next prime is 549662097667. The reversal of 549662097664 is 466790266945.

The square root of 549662097664 is 741392.

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

It can be written as a sum of positive squares in only one way, i.e., 238065926400 + 311596171264 = 487920^2 + 558208^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 549662097596 and 549662097605.

It is not an unprimeable number, because it can be changed into a prime (549662097667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11839104 + ... + 11885440.

Almost surely, 2549662097664 is an apocalyptic number.

549662097664 is the 741392-nd square number.

It is an amenable number.

549662097664 is a deficient number, since it is larger than the sum of its proper divisors (547538658813).

549662097664 is an frugal number, since it uses more digits than its factorization.

549662097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92690 (or 46339 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

Multiplying 549662097664 by its sum of digits (64), we get a square (35178374250496 = 59311362).

549662097664 divided by its sum of digits (64) gives a square (8588470276 = 926742).

The spelling of 549662097664 in words is "five hundred forty-nine billion, six hundred sixty-two million, ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 46337 92674 185348 370696 741392 1482784 2965568 5931136 11862272 2147117569 4294235138 8588470276 17176940552 34353881104 68707762208 137415524416 274831048832 549662097664