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1366996644 = 22321310612753
BaseRepresentation
bin101000101111010…
…1011011010100100
310112021020121212100
41101132223122210
510244422343034
6343351252100
745606164646
oct12136533244
93467217770
101366996644
116416a78a2
1232197a030
1318a294770
14cd7a0896
1580026099
hex517ab6a4

1366996644 has 72 divisors (see below), whose sum is σ = 3726128952. Its totient is φ = 420065280.

The previous prime is 1366996643. The next prime is 1366996661. The reversal of 1366996644 is 4466996631.

It can be written as a sum of positive squares in 4 ways, for example, as 357663744 + 1009332900 = 18912^2 + 31770^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1366996643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495172 + ... + 497924.

It is an arithmetic number, because the mean of its divisors is an integer number (51751791).

Almost surely, 21366996644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366996644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863064476).

1366996644 is an abundant number, since it is smaller than the sum of its proper divisors (2359132308).

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

1366996644 is a wasteful number, since it uses less digits than its factorization.

1366996644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3832 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 1366996644 is about 36972.9177101294. The cubic root of 1366996644 is about 1109.8283542720.

The spelling of 1366996644 in words is "one billion, three hundred sixty-six million, nine hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1061 2122 2753 3183 4244 5506 6366 8259 9549 11012 12732 13793 16518 19098 24777 27586 33036 35789 38196 41379 49554 55172 71578 82758 99108 107367 124137 143156 165516 214734 248274 322101 429468 496548 644202 1288404 2920933 5841866 8762799 11683732 17525598 26288397 35051196 37972129 52576794 75944258 105153588 113916387 151888516 227832774 341749161 455665548 683498322 1366996644