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40475806596 = 2234111772
BaseRepresentation
bin100101101100100010…
…111100101110000100
310212110211101000110000
4211230202330232010
51130343301302341
630332213001300
72632012452021
oct455442745604
9125424330400
1040475806596
11161905a0635
127a17323230
133a80816624
141d5d866548
1510bd6718b6
hex96c8bcb84

40475806596 has 45 divisors (see below), whose sum is σ = 105821221429. Its totient is φ = 13490728416.

The previous prime is 40475806589. The next prime is 40475806607. The reversal of 40475806596 is 69560857404.

The square root of 40475806596 is 201186.

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

40475806596 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 580 + 6 + 59 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35415476100 + 5060330496 = 188190^2 + 71136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3615760 + ... + 3626936.

Almost surely, 240475806596 is an apocalyptic number.

40475806596 is the 201186-th square number.

It is an amenable number.

40475806596 is an abundant number, since it is smaller than the sum of its proper divisors (65345414833).

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

40475806596 is an frugal number, since it uses more digits than its factorization.

40475806596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22370 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 40475806596 in words is "forty billion, four hundred seventy-five million, eight hundred six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11177 22354 33531 44708 67062 100593 134124 201186 301779 402372 603558 905337 1207116 1810674 3621348 124925329 249850658 374775987 499701316 749551974 1124327961 1499103948 2248655922 3372983883 4497311844 6745967766 10118951649 13491935532 20237903298 40475806596