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54926789610121 = 112132518272
BaseRepresentation
bin11000111110100101000111…
…10010001000101010001001
321012110221122102000020200121
430133102203302020222021
524144410031120010441
6312453004021103241
714366221023221332
oct1437224362105211
9235427572006617
1054926789610121
1116557358884100
1261b121a857b21
132485760203c00
14d7c683c47289
15653b89ebddd1
hex31f4a3c88a89

54926789610121 has 27 divisors (see below), whose sum is σ = 65376738595623. Its totient is φ = 46091521510320.

The previous prime is 54926789610097. The next prime is 54926789610181. The reversal of 54926789610121 is 12101698762945.

The square root of 54926789610121 is 7411261.

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., 8125264735225 + 46801524874896 = 2850485^2 + 6841164^2 .

It is not a de Polignac number, because 54926789610121 - 223 = 54926781221513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54926789610121.

It is not an unprimeable number, because it can be changed into a prime (54926789610181) 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, 1059784410 + ... + 1059836236.

Almost surely, 254926789610121 is an apocalyptic number.

54926789610121 is the 7411261-st square number.

54926789610121 is the 3705631-st centered octagonal number.

It is an amenable number.

54926789610121 is a deficient number, since it is larger than the sum of its proper divisors (10449948985502).

54926789610121 is an frugal number, since it uses more digits than its factorization.

54926789610121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103702 (or 51851 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 54926789610121 in words is "fifty-four trillion, nine hundred twenty-six billion, seven hundred eighty-nine million, six hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 13 121 143 169 1573 1859 20449 51827 570097 673751 6271067 7411261 8758763 81523871 96346393 1059810323 2686037929 29546417219 34918493077 325010589409 384103423847 453940410001 4225137662317 4993344510011 54926789610121