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6456971997 = 33734163873
BaseRepresentation
bin1100000001101110…
…11001001011011101
3121122222221011102000
412000313121023131
5101210441100442
62544415152513
7316003233150
oct60067311335
917588834360
106456971997
1128138796a3
121302515739
137bb966cb8
144537a3c97
1527bd01d4c
hex180dd92dd

6456971997 has 16 divisors (see below), whose sum is σ = 10932439680. Its totient is φ = 3689698176.

The previous prime is 6456971959. The next prime is 6456972007. The reversal of 6456971997 is 7991796546.

6456971997 is a `hidden beast` number, since 6 + 456 + 97 + 1 + 9 + 97 = 666.

It is not a de Polignac number, because 6456971997 - 27 = 6456971869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456971947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17081748 + ... + 17082125.

It is an arithmetic number, because the mean of its divisors is an integer number (683277480).

Almost surely, 26456971997 is an apocalyptic number.

It is an amenable number.

6456971997 is a deficient number, since it is larger than the sum of its proper divisors (4475467683).

6456971997 is a wasteful number, since it uses less digits than its factorization.

6456971997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34163889 (or 34163883 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The square root of 6456971997 is about 80355.2860551190. The cubic root of 6456971997 is about 1862.1284453307.

The spelling of 6456971997 in words is "six billion, four hundred fifty-six million, nine hundred seventy-one thousand, nine hundred ninety-seven".

Divisors: 1 3 7 9 21 27 63 189 34163873 102491619 239147111 307474857 717441333 922424571 2152323999 6456971997