Search a number
-
+
200217601696 = 2572127689797
BaseRepresentation
bin1011101001110111100…
…1100010011010100000
3201010210111201222220111
42322131321202122200
511240021201223241
6231551222021104
720315402351200
oct2723571423240
9633714658814
10200217601696
1177a03686612
1232978577794
1315b5a42a088
149994d66400
15531c608c81
hex2e9de626a0

200217601696 has 36 divisors (see below), whose sum is σ = 458534064618. Its totient is φ = 85807542912.

The previous prime is 200217601693. The next prime is 200217601697. The reversal of 200217601696 is 696106712002.

200217601696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128189777296 + 72027824400 = 358036^2 + 268380^2 .

It is not an unprimeable number, because it can be changed into a prime (200217601693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63843331 + ... + 63846466.

Almost surely, 2200217601696 is an apocalyptic number.

It is an amenable number.

200217601696 is an abundant number, since it is smaller than the sum of its proper divisors (258316462922).

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

200217601696 is a wasteful number, since it uses less digits than its factorization.

200217601696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127689821 (or 127689806 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 200217601696 in words is "two hundred billion, two hundred seventeen million, six hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 127689797 255379594 510759188 893828579 1021518376 1787657158 2043036752 3575314316 4086073504 6256800053 7150628632 12513600106 14301257264 25027200212 28602514528 50054400424 100108800848 200217601696