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320665261130656 = 25134118800730601
BaseRepresentation
bin100100011101001001011001…
…0111110110100001110100000
31120001101022002101121002020021
41020322102302332310032200
5314012234423322140111
63053555330505123224
7124354205050023031
oct11072226276641640
91501338071532207
10320665261130656
11931a0412200482
122bb6b0ab189514
13109c07b1a708a0
1459283d2424a88
15271138caedd71
hex123a4b2fb43a0

320665261130656 has 48 divisors (see below), whose sum is σ = 696454264420488. Its totient is φ = 144389611008000.

The previous prime is 320665261130653. The next prime is 320665261130707. The reversal of 320665261130656 is 656031162566023.

It can be written as a sum of positive squares in 4 ways, for example, as 100870285296400 + 219794975834256 = 10043420^2 + 14825484^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (320665261130653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9400348245 + ... + 9400382356.

Almost surely, 2320665261130656 is an apocalyptic number.

It is an amenable number.

320665261130656 is an abundant number, since it is smaller than the sum of its proper divisors (375789003289832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320665261130656 is a wasteful number, since it uses less digits than its factorization.

320665261130656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18800730665 (or 18800730657 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 320665261130656 in words is "three hundred twenty trillion, six hundred sixty-five billion, two hundred sixty-one million, one hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 18800730601 37601461202 75202922404 150405844808 244409497813 300811689616 488818995626 601623379232 770829954641 977637991252 1541659909282 1955275982504 3083319818564 3910551965008 6166639637128 7821103930016 10020789410333 12333279274256 20041578820666 24666558548512 40083157641332 80166315282664 160332630565328 320665261130656