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54022310329 = 1321929412
BaseRepresentation
bin110010010011111110…
…110000100110111001
312011102220111201002111
4302103332300212321
51341114202412304
640452325332321
73621503030011
oct622376604671
9164386451074
1054022310329
1120a02205369
12a577b670a1
13512c1a3300
142886a10c41
151612a75704
hexc93fb09b9

54022310329 has 27 divisors (see below), whose sum is σ = 61804070829. Its totient is φ = 47191978080.

The previous prime is 54022310299. The next prime is 54022310333. The reversal of 54022310329 is 92301322045.

The square root of 54022310329 is 232427.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3824804025 + 50197506304 = 61845^2 + 224048^2 .

It is not a de Polignac number, because 54022310329 - 213 = 54022302137 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 54022310329.

It is not an unprimeable number, because it can be changed into a prime (54022310389) 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, 57408999 + ... + 57409939.

Almost surely, 254022310329 is an apocalyptic number.

54022310329 is the 232427-th square number.

54022310329 is the 116214-th centered octagonal number.

It is an amenable number.

54022310329 is a deficient number, since it is larger than the sum of its proper divisors (7781760500).

54022310329 is an frugal number, since it uses more digits than its factorization.

54022310329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 54022310329 in words is "fifty-four billion, twenty-two million, three hundred ten thousand, three hundred twenty-nine".

Divisors: 1 13 19 169 247 361 941 3211 4693 12233 17879 61009 159029 232427 339701 885481 3021551 4416113 11511253 16824139 57409469 149646289 218713807 319658641 2843279491 4155562333 54022310329