Search a number
-
+
397171699920 = 24355193134687
BaseRepresentation
bin1011100011110010100…
…01110011000011010000
31101222011120121211200000
411301321101303003100
523001401423344140
6502242543530000
740460166514122
oct5617121630320
91358146554600
10397171699920
11143492085716
1264b83bb9900
132b5b76b2ab8
141531a6d3212
15a4e846da30
hex5c794730d0

397171699920 has 480 divisors, whose sum is σ = 1503050465280. Its totient is φ = 97098600960.

The previous prime is 397171699909. The next prime is 397171699921. The reversal of 397171699920 is 29996171793.

397171699920 is a `hidden beast` number, since 397 + 1 + 71 + 6 + 99 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397171699921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11432817 + ... + 11467503.

It is an arithmetic number, because the mean of its divisors is an integer number (3131355136).

Almost surely, 2397171699920 is an apocalyptic number.

397171699920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397171699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751525232640).

397171699920 is an abundant number, since it is smaller than the sum of its proper divisors (1105878765360).

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

397171699920 is a wasteful number, since it uses less digits than its factorization.

397171699920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34765 (or 34747 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 63.

The spelling of 397171699920 in words is "three hundred ninety-seven billion, one hundred seventy-one million, six hundred ninety-nine thousand, nine hundred twenty".