Search a number
-
+
5039655669864 = 23321943479178859
BaseRepresentation
bin100100101010110001011…
…1000101101000001101000
3122211210020021020212202200
41021111202320231001220
51130032203322413424
614415104051100200
71030050236252034
oct111254270550150
918753207225680
105039655669864
111673340273242
126948765a1660
132a73119c728a
14135cc63211c4
158b15dd8e8c9
hex49562e2d068

5039655669864 has 192 divisors, whose sum is σ = 14732340480000. Its totient is φ = 1551205385856.

The previous prime is 5039655669863. The next prime is 5039655669869. The reversal of 5039655669864 is 4689665569305.

5039655669864 is a `hidden beast` number, since 5 + 0 + 3 + 9 + 6 + 556 + 6 + 9 + 8 + 64 = 666.

It is a super-3 number, since 3×50396556698643 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5039655669792 and 5039655669801.

It is not an unprimeable number, because it can be changed into a prime (5039655669863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28087267 + ... + 28266125.

It is an arithmetic number, because the mean of its divisors is an integer number (76730940000).

Almost surely, 25039655669864 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 5039655669864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366170240000).

5039655669864 is an abundant number, since it is smaller than the sum of its proper divisors (9692684810136).

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

5039655669864 is a wasteful number, since it uses less digits than its factorization.

5039655669864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179412 (or 179405 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 72.

The spelling of 5039655669864 in words is "five trillion, thirty-nine billion, six hundred fifty-five million, six hundred sixty-nine thousand, eight hundred sixty-four".