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6939057055681 = 41247213672
BaseRepresentation
bin110010011111010000000…
…0001111110011111000001
3220120100220211001122012101
41210332200001332133001
51402142142101240211
622431431522430401
71314221205533542
oct144764001763701
926510824048171
106939057055681
112235923897263
12940a04202401
133b447271a02a
1419dbd04484c9
15c077a2da5c1
hex64fa007e7c1

6939057055681 has 27 divisors (see below), whose sum is σ = 7272298232227. Its totient is φ = 6620926268960.

The previous prime is 6939057055633. The next prime is 6939057055709. The reversal of 6939057055681 is 1865507509396.

The square root of 6939057055681 is 2634209.

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

6939057055681 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 334362654081 + 6604694401600 = 578241^2 + 2569960^2 .

It is not a de Polignac number, because 6939057055681 - 29 = 6939057055169 is a prime.

It is a super-2 number, since 2×69390570556812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6939057059681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5076120060 + ... + 5076121426.

Almost surely, 26939057055681 is an apocalyptic number.

6939057055681 is the 2634209-th square number.

6939057055681 is the 1317105-th centered octagonal number.

It is an amenable number.

6939057055681 is a deficient number, since it is larger than the sum of its proper divisors (333241176546).

6939057055681 is an frugal number, since it uses more digits than its factorization.

6939057055681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 64.

Multiplying 6939057055681 by its sum of digits (64), we get a square (444099651563584 = 210736722).

The spelling of 6939057055681 in words is "six trillion, nine hundred thirty-nine billion, fifty-seven million, fifty-five thousand, six hundred eighty-one".

Divisors: 1 41 47 1367 1681 1927 2209 56047 64249 79007 90569 1868689 2297927 2634209 3019703 3713329 76616249 87828383 108002569 123807823 3141266209 3600963703 4127934001 5076120743 147639511823 169245294041 6939057055681