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397685368129 = 72900892
BaseRepresentation
bin1011100100101111110…
…01010010010101000001
31102000111101011212222111
411302113321102111001
523003424423240004
6502405533335321
740506004566100
oct5622771222501
91360441155874
10397685368129
111437260281a5
12650a8037541
132b669c4229a
1415368a06037
15a5285d6a04
hex5c97e52541

397685368129 has 9 divisors (see below), whose sum is σ = 462618726627. Its totient is φ = 340869388944.

The previous prime is 397685368111. The next prime is 397685368151. The reversal of 397685368129 is 921863586793.

The square root of 397685368129 is 630623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 240710928129 + 156974440000 = 490623^2 + 396200^2 .

It is not a de Polignac number, because 397685368129 - 25 = 397685368097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397685368109) 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 8 ways as a sum of consecutive naturals, for example, 4369317 + ... + 4459405.

Almost surely, 2397685368129 is an apocalyptic number.

397685368129 is the 630623-rd square number.

397685368129 is the 315312-nd centered octagonal number.

It is an amenable number.

397685368129 is a deficient number, since it is larger than the sum of its proper divisors (64933358498).

397685368129 is an frugal number, since it uses more digits than its factorization.

397685368129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180192 (or 90096 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 67.

The spelling of 397685368129 in words is "three hundred ninety-seven billion, six hundred eighty-five million, three hundred sixty-eight thousand, one hundred twenty-nine".

Divisors: 1 7 49 90089 630623 4414361 8116027921 56812195447 397685368129