Search a number
-
+
49865625927936 = 283572131779937
BaseRepresentation
bin10110101011010001111101…
…11010111000000100000000
320112120002220012122010200000
423111220332322320010000
523013444300214143221
6254015541410400000
713334446460564100
oct1325507672700400
9215502805563600
1049865625927936
1114985990929975
125714361290000
1321a9401595b30
14c4571b253200
155b71bccd4e26
hex2d5a3eeb8100

49865625927936 has 2592 divisors, whose sum is σ = 200488979658240. Its totient is φ = 12208040312832.

The previous prime is 49865625927913. The next prime is 49865625927941. The reversal of 49865625927936 is 63972952656894.

49865625927936 is a `hidden beast` number, since 4 + 9 + 8 + 65 + 6 + 259 + 279 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×498656259279362 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53218383660 + ... + 53218384596.

Almost surely, 249865625927936 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 49865625927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100244489829120).

49865625927936 is an abundant number, since it is smaller than the sum of its proper divisors (150623353730304).

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

49865625927936 is a wasteful number, since it uses less digits than its factorization.

49865625927936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1058 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 49865625927936 in words is "forty-nine trillion, eight hundred sixty-five billion, six hundred twenty-five million, nine hundred twenty-seven thousand, nine hundred thirty-six".