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54977435014329 = 34139259272
BaseRepresentation
bin11001000000000011011100…
…11111000001010010111001
321012122210100222021100110000
430200001232133001102321
524201222241330424304
6312532141315543213
714402663043110112
oct1440015637012271
9235583328240400
1054977435014329
1116576887896963
1261babb38bab09
13248a4718a8ac9
14d80cca17d209
1565515134e939
hex32006e7c14b9

54977435014329 has 45 divisors (see below), whose sum is σ = 82735835613717. Its totient is φ = 36381803246856.

The previous prime is 54977435014321. The next prime is 54977435014363. The reversal of 54977435014329 is 92341053477945.

The square root of 54977435014329 is 7414677.

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

54977435014329 is a `hidden beast` number, since 5 + 4 + 97 + 7 + 4 + 3 + 501 + 4 + 32 + 9 = 666.

It is not a de Polignac number, because 54977435014329 - 23 = 54977435014321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54977435014321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9275757964 + ... + 9275763890.

Almost surely, 254977435014329 is an apocalyptic number.

54977435014329 is the 7414677-th square number.

54977435014329 is the 3707339-th centered octagonal number.

It is an amenable number.

54977435014329 is a deficient number, since it is larger than the sum of its proper divisors (27758400599388).

54977435014329 is an frugal number, since it uses more digits than its factorization.

54977435014329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 54977435014329 in words is "fifty-four trillion, nine hundred seventy-seven billion, four hundred thirty-five million, fourteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 139 417 1251 3753 5927 11259 17781 19321 53343 57963 160029 173889 480087 521667 823853 1565001 2471559 7414677 22244031 35129329 66732093 105387987 114515567 316163961 343546701 948491883 1030640103 2845475649 3091920309 4882976731 9275760927 14648930193 43946790579 131840371737 395521115211 678733765609 2036201296827 6108603890481 18325811671443 54977435014329