Search a number
-
+
676539694656 = 26337219740559
BaseRepresentation
bin10011101100001001110…
…10000111111001000000
32101200021012210101221000
421312010322013321000
542041023130212111
61234444213332000
766610166343600
oct11660472077100
92350235711830
10676539694656
11240a12024aa1
12ab14b937000
134ba49c13567
1424a5d634c00
15128e9670c56
hex9d84e87e40

676539694656 has 336 divisors, whose sum is σ = 2325421612800. Its totient is φ = 192311110656.

The previous prime is 676539694651. The next prime is 676539694729. The reversal of 676539694656 is 656496935676.

676539694656 is a `hidden beast` number, since 6 + 76 + 5 + 3 + 96 + 9 + 465 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (676539694651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16660105 + ... + 16700663.

Almost surely, 2676539694656 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 676539694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162710806400).

676539694656 is an abundant number, since it is smaller than the sum of its proper divisors (1648881918144).

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

676539694656 is a wasteful number, since it uses less digits than its factorization.

676539694656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40791 (or 40768 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 676539694656 in words is "six hundred seventy-six billion, five hundred thirty-nine million, six hundred ninety-four thousand, six hundred fifty-six".