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1995506864 = 241323449929
BaseRepresentation
bin111011011110001…
…0000010010110000
312011001220020210122
41312330100102300
513041322204424
6530002345412
7100310346161
oct16674202260
95131806718
101995506864
1193445892a
1247835b268
1325a5631c0
1414d049768
15ba2c645e
hex76f104b0

1995506864 has 80 divisors (see below), whose sum is σ = 4359096000. Its totient is φ = 878051328.

The previous prime is 1995506837. The next prime is 1995506867. The reversal of 1995506864 is 4686055991.

It is a happy number.

It is a super-2 number, since 2×19955068642 = 7964095288542228992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1995506867) 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, 2147552 + ... + 2148480.

It is an arithmetic number, because the mean of its divisors is an integer number (54488700).

Almost surely, 21995506864 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 1995506864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179548000).

1995506864 is an abundant number, since it is smaller than the sum of its proper divisors (2363589136).

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

1995506864 is a wasteful number, since it uses less digits than its factorization.

1995506864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The square root of 1995506864 is about 44671.0965166516. The cubic root of 1995506864 is about 1258.9768430288.

The spelling of 1995506864 in words is "one billion, nine hundred ninety-five million, five hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 449 598 898 929 1196 1796 1858 2392 3592 3716 4784 5837 7184 7432 10327 11674 12077 14864 20654 21367 23348 24154 41308 42734 46696 48308 82616 85468 93392 96616 134251 165232 170936 193232 268502 277771 341872 417121 537004 555542 834242 1074008 1111084 1668484 2148016 2222168 3336968 4444336 5422573 6673936 9593783 10845146 19187566 21690292 38375132 43380584 76750264 86761168 124719179 153500528 249438358 498876716 997753432 1995506864