Search a number
-
+
52168332528000 = 273553131954323
BaseRepresentation
bin10111101110010011000101…
…11011011100100110000000
320211201020120210100112200000
423313021202323130212000
523314211221111344000
6302541445012400000
713663015625000013
oct1367114273344600
9224636523315600
1052168332528000
1115693513760707
125a266a5016000
1323155b66136b0
14cc4d644b537a
15607040dac000
hex2f7262edc980

52168332528000 has 1536 divisors, whose sum is σ = 220250008742400. Its totient is φ = 12165346713600.

The previous prime is 52168332527959. The next prime is 52168332528007. The reversal of 52168332528000 is 82523386125.

52168332528000 is a `hidden beast` number, since 5 + 2 + 16 + 83 + 32 + 528 + 0 + 0 + 0 = 666.

52168332528000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52168332528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 960308839 + ... + 960363161.

It is an arithmetic number, because the mean of its divisors is an integer number (143391932775).

Almost surely, 252168332528000 is an apocalyptic number.

52168332528000 is a gapful number since it is divisible by the number (50) 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 52168332528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110125004371200).

52168332528000 is an abundant number, since it is smaller than the sum of its proper divisors (168081676214400).

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

52168332528000 is a wasteful number, since it uses less digits than its factorization.

52168332528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54399 (or 54365 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 52168332528000 in words is "fifty-two trillion, one hundred sixty-eight billion, three hundred thirty-two million, five hundred twenty-eight thousand".