Search a number
-
+
397982446680 = 233571327513733
BaseRepresentation
bin1011100101010011001…
…10100011010001011000
31102001021002012001010210
411302221212203101120
523010032001243210
6502455225011120
740516242660240
oct5625146432130
91361232161123
10397982446680
11143868796765
126516b623aa0
132b6b6659400
1415396258b20
15a544719e20
hex5ca99a3458

397982446680 has 384 divisors, whose sum is σ = 1479911454720. Its totient is φ = 83835648000.

The previous prime is 397982446679. The next prime is 397982446681. The reversal of 397982446680 is 86644289793.

It is an interprime number because it is at equal distance from previous prime (397982446679) and next prime (397982446681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397982446681) 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, 106610094 + ... + 106613826.

It is an arithmetic number, because the mean of its divisors is an integer number (3853936080).

Almost surely, 2397982446680 is an apocalyptic number.

397982446680 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 397982446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739955727360).

397982446680 is an abundant number, since it is smaller than the sum of its proper divisors (1081929008040).

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

397982446680 is a wasteful number, since it uses less digits than its factorization.

397982446680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 397982446680 in words is "three hundred ninety-seven billion, nine hundred eighty-two million, four hundred forty-six thousand, six hundred eighty".