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8006136941 = 11266166421
BaseRepresentation
bin1110111010011001…
…11111010001101101
3202122221221220012102
413131030333101231
5112344032340231
63402235144445
7402254020055
oct73514772155
922587856172
108006136941
11343928a200
1216752a5125
139a78b154a
1455d424565
1531cd0dacb
hex1dd33f46d

8006136941 has 6 divisors (see below), whose sum is σ = 8800134126. Its totient is φ = 7278306200.

The previous prime is 8006136937. The next prime is 8006136977. The reversal of 8006136941 is 1496316008.

It can be written as a sum of positive squares in only one way, i.e., 7668680041 + 337456900 = 87571^2 + 18370^2 .

It is not a de Polignac number, because 8006136941 - 22 = 8006136937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8006136895 and 8006136904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006136241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33083090 + ... + 33083331.

It is an arithmetic number, because the mean of its divisors is an integer number (1466689021).

Almost surely, 28006136941 is an apocalyptic number.

It is an amenable number.

8006136941 is a deficient number, since it is larger than the sum of its proper divisors (793997185).

8006136941 is a wasteful number, since it uses less digits than its factorization.

8006136941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66166443 (or 66166432 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 8006136941 is about 89477.0190663502. The cubic root of 8006136941 is about 2000.5112810347.

The spelling of 8006136941 in words is "eight billion, six million, one hundred thirty-six thousand, nine hundred forty-one".

Divisors: 1 11 121 66166421 727830631 8006136941