Search a number
-
+
52947771552 = 253613237591
BaseRepresentation
bin110001010011111011…
…101110000010100000
312001200000120111000000
4301103323232002200
51331414112142202
640153542300000
73553044426624
oct612373560240
9161600514000
1052947771552
1120500700495
12a318127600
134cba698750
1427c401d184
15159d56d91c
hexc53eee0a0

52947771552 has 336 divisors, whose sum is σ = 175653249408. Its totient is φ = 15581237760.

The previous prime is 52947771533. The next prime is 52947771593. The reversal of 52947771552 is 25517774925.

52947771552 is a `hidden beast` number, since 52 + 9 + 477 + 71 + 5 + 52 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 6971277 + ... + 6978867.

It is an arithmetic number, because the mean of its divisors is an integer number (522777528).

Almost surely, 252947771552 is an apocalyptic number.

52947771552 is a gapful number since it is divisible by the number (52) 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 52947771552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87826624704).

52947771552 is an abundant number, since it is smaller than the sum of its proper divisors (122705477856).

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

52947771552 is a wasteful number, since it uses less digits than its factorization.

52947771552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7632 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 52947771552 in words is "fifty-two billion, nine hundred forty-seven million, seven hundred seventy-one thousand, five hundred fifty-two".