Search a number
-
+
50645252025 = 365216672
BaseRepresentation
bin101111001010101100…
…010011011110111001
311211201112222101000000
4233022230103132321
51312210141031100
635133251303213
73442015352664
oct571254233671
9154645871000
1050645252025
111a529a19495
129994baab09
134a11650864
1426462d66db
1514b6350900
hexbcab137b9

50645252025 has 63 divisors (see below), whose sum is σ = 94213612831. Its totient is φ = 26994597840.

The previous prime is 50645252003. The next prime is 50645252033. The reversal of 50645252025 is 52025254605.

The square root of 50645252025 is 225045.

It is a perfect power (a square), and thus also a powerful number.

50645252025 is a `hidden beast` number, since 5 + 0 + 64 + 52 + 520 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18232290729 + 32412961296 = 135027^2 + 180036^2 .

It is not a de Polignac number, because 50645252025 - 231 = 48497768377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30380242 + ... + 30381908.

Almost surely, 250645252025 is an apocalyptic number.

50645252025 is the 225045-th square number.

50645252025 is the 112523-rd centered octagonal number.

It is an amenable number.

50645252025 is a deficient number, since it is larger than the sum of its proper divisors (43568360806).

50645252025 is an frugal number, since it uses more digits than its factorization.

50645252025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Multiplying 50645252025 by its sum of digits (36), we get a square (1823229072900 = 13502702).

The spelling of 50645252025 in words is "fifty billion, six hundred forty-five million, two hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 1667 2025 3645 5001 6075 8335 15003 18225 25005 41675 45009 75015 125025 135027 225045 375075 405081 675135 1125225 1215243 2025405 2778889 3375675 6076215 8336667 10127025 13894445 25010001 30381075 41683335 69472225 75030003 125050005 208416675 225090009 375150015 625250025 675270027 1125450045 1875750075 2025810081 3376350135 5627250225 10129050405 16881750675 50645252025