Search a number
-
+
558052968150 = 2335219312692609
BaseRepresentation
bin10000001111011101000…
…11001000011011010110
31222100102200010001102000
420013232203020123112
533120343024440100
61104211015500130
755214033651346
oct10075643103326
91870380101360
10558052968150
111a573a396727
12901a2987646
13408163b7cc2
141d01d288d26
15e7b2487900
hex81ee8c86d6

558052968150 has 384 divisors, whose sum is σ = 1677749760000. Its totient is φ = 135874713600.

The previous prime is 558052968149. The next prime is 558052968157. The reversal of 558052968150 is 51869250855.

558052968150 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 529 + 68 + 1 + 50 = 666.

It is a super-2 number, since 2×5580529681502 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558052968157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213894046 + ... + 213896654.

It is an arithmetic number, because the mean of its divisors is an integer number (4369140000).

Almost surely, 2558052968150 is an apocalyptic number.

558052968150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 558052968150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838874880000).

558052968150 is an abundant number, since it is smaller than the sum of its proper divisors (1119696791850).

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

558052968150 is a wasteful number, since it uses less digits than its factorization.

558052968150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 558052968150 in words is "five hundred fifty-eight billion, fifty-two million, nine hundred sixty-eight thousand, one hundred fifty".