Search a number
-
+
5363683901856 = 25347809365411
BaseRepresentation
bin100111000001101010001…
…1110010100000110100000
3200222202121100112120020000
41032003110132110012200
51200334311034324411
615224013052420000
71062341041631040
oct116032436240640
920882540476200
105363683901856
1117887a8805905
12727626a77600
132cba40928527
1414786472b720
15947c5c69956
hex4e0d47941a0

5363683901856 has 240 divisors, whose sum is σ = 18050271180480. Its totient is φ = 1530582635520.

The previous prime is 5363683901783. The next prime is 5363683901887. The reversal of 5363683901856 is 6581093863635.

5363683901856 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 68 + 390 + 185 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5363683901793 and 5363683901802.

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 39 ways as a sum of consecutive naturals, for example, 14495791 + ... + 14861201.

It is an arithmetic number, because the mean of its divisors is an integer number (75209463252).

Almost surely, 25363683901856 is an apocalyptic number.

5363683901856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5363683901856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025135590240).

5363683901856 is an abundant number, since it is smaller than the sum of its proper divisors (12686587278624).

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

5363683901856 is a wasteful number, since it uses less digits than its factorization.

5363683901856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366249 (or 366232 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 5363683901856 in words is "five trillion, three hundred sixty-three billion, six hundred eighty-three million, nine hundred one thousand, eight hundred fifty-six".