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195461664 = 253191011061
BaseRepresentation
bin10111010011010…
…00001000100000
3111121210110222220
423221220020200
5400014233124
631221231040
74562253036
oct1351501040
9447713886
10195461664
11a0373272
1255562480
13316586b8
141bd60556
151225e879
hexba68220

195461664 has 96 divisors (see below), whose sum is σ = 545952960. Its totient is φ = 61056000.

The previous prime is 195461663. The next prime is 195461671. The reversal of 195461664 is 466164591.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (195461663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183694 + ... + 184754.

It is an arithmetic number, because the mean of its divisors is an integer number (5687010).

Almost surely, 2195461664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272976480).

195461664 is an abundant number, since it is smaller than the sum of its proper divisors (350491296).

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

195461664 is a wasteful number, since it uses less digits than its factorization.

195461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 195461664 is about 13980.7604943365. The cubic root of 195461664 is about 580.3462696471.

The spelling of 195461664 in words is "one hundred ninety-five million, four hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 101 114 152 202 228 303 304 404 456 606 608 808 912 1061 1212 1616 1824 1919 2122 2424 3183 3232 3838 4244 4848 5757 6366 7676 8488 9696 11514 12732 15352 16976 20159 23028 25464 30704 33952 40318 46056 50928 60477 61408 80636 92112 101856 107161 120954 161272 184224 214322 241908 321483 322544 428644 483816 642966 645088 857288 967632 1285932 1714576 1935264 2036059 2571864 3429152 4072118 5143728 6108177 8144236 10287456 12216354 16288472 24432708 32576944 48865416 65153888 97730832 195461664