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6977093841 = 3492812
BaseRepresentation
bin1100111111101111…
…00000000011010001
3200000020122002110000
412133313200003101
5103242114000331
63112155200213
7334620214314
oct63767400321
920006562400
106977093841
112a60429963
121428746069
13872645ac3
144a28b697b
152ac7e20e6
hex19fde00d1

6977093841 has 15 divisors (see below), whose sum is σ = 10423695403. Its totient is φ = 4650894720.

The previous prime is 6977093821. The next prime is 6977093867. The reversal of 6977093841 is 1483907796.

It is a happy number.

The square root of 6977093841 is 83529.

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., 6228524241 + 748569600 = 78921^2 + 27360^2 .

It is not a de Polignac number, because 6977093841 - 27 = 6977093713 is a prime.

It is a super-2 number, since 2×69770938412 = 97359676932240266562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6977093821) 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 14 ways as a sum of consecutive naturals, for example, 747121 + ... + 756401.

Almost surely, 26977093841 is an apocalyptic number.

6977093841 is the 83529-th square number.

6977093841 is the 41765-th centered octagonal number.

It is an amenable number.

6977093841 is a deficient number, since it is larger than the sum of its proper divisors (3446601562).

6977093841 is an frugal number, since it uses more digits than its factorization.

6977093841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18574 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The cubic root of 6977093841 is about 1910.8423357180.

The spelling of 6977093841 in words is "six billion, nine hundred seventy-seven million, ninety-three thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 9281 27843 83529 250587 751761 86136961 258410883 775232649 2325697947 6977093841