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74806626064 = 2410126772
BaseRepresentation
bin100010110101011010…
…0101000011100010000
321011002101212100021011
41011222310220130100
52211200444013224
654210553340304
75255530554502
oct1055264503420
9234071770234
1074806626064
11297a8432405
12125b8707694
1370921cbba1
14389913bd72
151e2c5bb394
hex116ad28710

74806626064 has 45 divisors (see below), whose sum is σ = 146603622751. Its totient is φ = 36978281600.

The previous prime is 74806626049. The next prime is 74806626067. The reversal of 74806626064 is 46062660847.

It is a happy number.

The square root of 74806626064 is 273508.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69242659600 + 5563966464 = 263140^2 + 74592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74806625999 and 74806626017.

It is not an unprimeable number, because it can be changed into a prime (74806626067) 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, 110496894 + ... + 110497570.

Almost surely, 274806626064 is an apocalyptic number.

74806626064 is the 273508-th square number.

It is an amenable number.

74806626064 is a deficient number, since it is larger than the sum of its proper divisors (71796996687).

74806626064 is an frugal number, since it uses more digits than its factorization.

74806626064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

Multiplying 74806626064 by its sum of digits (49), we get a square (3665524677136 = 19145562).

The spelling of 74806626064 in words is "seventy-four billion, eight hundred six million, six hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 101 202 404 677 808 1354 1616 2708 5416 10201 10832 20402 40804 68377 81608 136754 163216 273508 458329 547016 916658 1094032 1833316 3666632 6906077 7333264 13812154 27624308 46291229 55248616 92582458 110497232 185164916 370329832 740659664 4675414129 9350828258 18701656516 37403313032 74806626064