Search a number
-
+
85248474928650 = 2325211219317933647
BaseRepresentation
bin10011011000100001110101…
…000100001101011000001010
3102011211200012210101100120100
4103120201311010031120022
542133202334040204100
6501150335253110230
723645666451664215
oct2330416504153012
9364750183340510
1085248474928650
1125187747746200
129689885928376
133874b87055587
14170a0963a077c
159cc796126400
hex4d887510d60a

85248474928650 has 864 divisors, whose sum is σ = 277017469747200. Its totient is φ = 18706637664000.

The previous prime is 85248474928553. The next prime is 85248474928711. The reversal of 85248474928650 is 5682947484258.

It is a happy number.

85248474928650 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 8 + 4 + 7 + 492 + 86 + 50 = 666.

It is a Curzon number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 2533596127 + ... + 2533629773.

Almost surely, 285248474928650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85248474928650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138508734873600).

85248474928650 is an abundant number, since it is smaller than the sum of its proper divisors (191768994818550).

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

85248474928650 is a wasteful number, since it uses less digits than its factorization.

85248474928650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816 (or 33797 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 85248474928650 in words is "eighty-five trillion, two hundred forty-eight billion, four hundred seventy-four million, nine hundred twenty-eight thousand, six hundred fifty".