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54833240072809 = 11229213921672
BaseRepresentation
bin11000111011110110110111…
…10010111110001001101001
321012011000011210001100202101
430131323123302332021221
524141341433424312214
6312342013121533401
714356366543245442
oct1435733362761151
9235130153040671
1054833240072809
1116520712581100
1261970711a4261
1324799a1bbc6c3
14d77d2b7742c9
156515121ec774
hex31dedbcbe269

54833240072809 has 81 divisors (see below), whose sum is σ = 63252279419511. Its totient is φ = 47497107245280.

The previous prime is 54833240072801. The next prime is 54833240072857. The reversal of 54833240072809 is 90827004233845.

The square root of 54833240072809 is 7404947.

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., 28753221013209 + 26080019059600 = 5362203^2 + 5106860^2 .

It is not a de Polignac number, because 54833240072809 - 23 = 54833240072801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54833240072809.

It is not an unprimeable number, because it can be changed into a prime (54833240072801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 328342754844 + ... + 328342755010.

Almost surely, 254833240072809 is an apocalyptic number.

54833240072809 is the 7404947-th square number.

54833240072809 is the 3702474-th centered octagonal number.

It is an amenable number.

54833240072809 is a deficient number, since it is larger than the sum of its proper divisors (8419039346702).

54833240072809 is an equidigital number, since it uses as much as digits as its factorization.

54833240072809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 54833240072809 in words is "fifty-four trillion, eight hundred thirty-three billion, two hundred forty million, seventy-two thousand, eight hundred nine".

Divisors: 1 11 29 121 139 167 319 841 1529 1837 3509 4031 4843 9251 16819 19321 20207 23213 27889 44341 53273 101761 116899 140447 212531 255343 306779 487751 560309 586003 673177 808781 1285889 1544917 2337841 2808773 3226607 3374569 3876571 6163399 7404947 8896591 14144779 16248961 16994087 19522133 23454649 35492677 42642281 67797389 81454417 93571603 97862501 112420559 178738571 214743463 258001139 390419447 469065091 538843369 1029287633 1236626149 1966124281 2362178093 2713576487 2838012529 3260196211 5927277059 11322163963 13602887639 15626457701 29849341357 35862158321 65200047649 171891034711 328342754927 394483741531 453167273329 1890801381821 4984840006619 54833240072809