Search a number
-
+
897146713008 = 2432721322925943
BaseRepresentation
bin11010000111000100001…
…11000111001110110000
310011202200200211002022100
431003202013013032300
5104144324024304013
61524050555340400
7121550063144400
oct15034207071660
93152620732270
10897146713008
11316528a27077
12125a58751700
13667a65c2600
14315ca490800
151850bcb8473
hexd0e21c73b0

897146713008 has 540 divisors, whose sum is σ = 3271818335760. Its totient is φ = 228442346496.

The previous prime is 897146712997. The next prime is 897146713033. The reversal of 897146713008 is 800317641798.

897146713008 is a `hidden beast` number, since 89 + 71 + 467 + 1 + 30 + 0 + 8 = 666.

It is a super-2 number, since 2×8971467130082 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34568485 + ... + 34594427.

It is an arithmetic number, because the mean of its divisors is an integer number (6058922844).

Almost surely, 2897146713008 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 897146713008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635909167880).

897146713008 is an abundant number, since it is smaller than the sum of its proper divisors (2374671622752).

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

897146713008 is a wasteful number, since it uses less digits than its factorization.

897146713008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26026 (or 25997 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 897146713008 in words is "eight hundred ninety-seven billion, one hundred forty-six million, seven hundred thirteen thousand, eight".