Search a number
-
+
52170204000000 = 2835641107991
BaseRepresentation
bin10111101110010110100100…
…11110100010111100000000
320211201102102012212011121210
423313023102132202330000
523314224034211000000
6302542354424450120
713663113201151422
oct1367132236427400
9224642365764553
1052170204000000
11156942940a1289
125a26b27919940
132315824269288
14cc50a0c74812
15607100332350
hex2f72d27a2f00

52170204000000 has 1008 divisors, whose sum is σ = 179634640647168. Its totient is φ = 13432320000000.

The previous prime is 52170203999971. The next prime is 52170204000023. The reversal of 52170204000000 is 40207125.

52170204000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 52643999505 + ... + 52644000495.

It is an arithmetic number, because the mean of its divisors is an integer number (178208968896).

Almost surely, 252170204000000 is an apocalyptic number.

52170204000000 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 52170204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89817320323584).

52170204000000 is an abundant number, since it is smaller than the sum of its proper divisors (127464436647168).

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

52170204000000 is an frugal number, since it uses more digits than its factorization.

52170204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

Adding to 52170204000000 its reverse (40207125), we get a palindrome (52170244207125).

The spelling of 52170204000000 in words is "fifty-two trillion, one hundred seventy billion, two hundred four million", and thus it is an aban number.