Search a number
-
+
252255520455553 = 3716553411871973
BaseRepresentation
bin111001010110110011010000…
…101100000111101110000001
31020002011101120221110020011101
4321112303100230013232001
5231030423301214034203
62252300330350014401
7104063600645422246
oct7126632054075601
91202141527406141
10252255520455553
1173415a6901142a
12243609874a7401
13aa9a793c2b644
14464133774d5cd
151e26b294a641d
hexe56cd0b07b81

252255520455553 has 8 divisors (see below), whose sum is σ = 259088888988648. Its totient is φ = 245422975699584.

The previous prime is 252255520455541. The next prime is 252255520455569. The reversal of 252255520455553 is 355554025552252.

It can be written as a sum of positive squares in 4 ways, for example, as 100739903603329 + 151515616852224 = 10036927^2 + 12309168^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252255520455553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252255520455494 and 252255520455503.

It is not an unprimeable number, because it can be changed into a prime (252255520455593) 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 7 ways as a sum of consecutive naturals, for example, 205323526 + ... + 206548447.

It is an arithmetic number, because the mean of its divisors is an integer number (32386111123581).

Almost surely, 2252255520455553 is an apocalyptic number.

It is an amenable number.

252255520455553 is a deficient number, since it is larger than the sum of its proper divisors (6833368533095).

252255520455553 is a wasteful number, since it uses less digits than its factorization.

252255520455553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411888563.

The product of its (nonzero) digits is 75000000, while the sum is 55.

The spelling of 252255520455553 in words is "two hundred fifty-two trillion, two hundred fifty-five billion, five hundred twenty million, four hundred fifty-five thousand, five hundred fifty-three".

Divisors: 1 37 16553 612461 411871973 15239263001 6817716769069 252255520455553