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397341453376512 = 210331931472292267
BaseRepresentation
bin101101001011000010100010…
…0001011101101110000000000
31221002212110202001202120201000
41122112011010023231300000
5404040020244031022022
63525024051014212000
7146456654424323661
oct13226050413556000
91832773661676630
10397341453376512
11105672622840577
1238693528954000
13140931a4a48a08
1470196010a9368
1530e0b6a46a6ac
hex16961442edc00

397341453376512 has 1408 divisors, whose sum is σ = 1312109051904000. Its totient is φ = 118273870725120.

The previous prime is 397341453376499. The next prime is 397341453376513. The reversal of 397341453376512 is 215673354143793.

397341453376512 is a `hidden beast` number, since 3 + 9 + 7 + 3 + 4 + 1 + 45 + 3 + 3 + 76 + 512 = 666.

It is a super-2 number, since 2×3973414533765122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 397341453376512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397341453376513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175271923603 + ... + 175271925869.

Almost surely, 2397341453376512 is an apocalyptic number.

397341453376512 is a gapful number since it is divisible by the number (32) 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 397341453376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656054525952000).

397341453376512 is an abundant number, since it is smaller than the sum of its proper divisors (914767598527488).

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

397341453376512 is a wasteful number, since it uses less digits than its factorization.

397341453376512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2598 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 397341453376512 in words is "three hundred ninety-seven trillion, three hundred forty-one billion, four hundred fifty-three million, three hundred seventy-six thousand, five hundred twelve".