Search a number
-
+
8255370816 = 26327111710949
BaseRepresentation
bin1111011000000111…
…01111011001000000
3210022022221021210200
413230003233121000
5113401333331231
63443101125200
7411401331330
oct75403573100
923268837720
108255370816
113556a3a310
121724859800
13a17416304
145845810c0
15334b40be6
hex1ec0ef640

8255370816 has 336 divisors, whose sum is σ = 31239561600. Its totient is φ = 2017935360.

The previous prime is 8255370779. The next prime is 8255370821. The reversal of 8255370816 is 6180735528.

8255370816 is a `hidden beast` number, since 82 + 553 + 7 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×82553708162 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748510 + ... + 759458.

Almost surely, 28255370816 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 8255370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619780800).

8255370816 is an abundant number, since it is smaller than the sum of its proper divisors (22984190784).

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

8255370816 is a wasteful number, since it uses less digits than its factorization.

8255370816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8255370816 is about 90859.0711816932. The cubic root of 8255370816 is about 2021.0583951247.

The spelling of 8255370816 in words is "eight billion, two hundred fifty-five million, three hundred seventy thousand, eight hundred sixteen".