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54332105971 = 111323125913121
BaseRepresentation
bin110010100110011100…
…100010010011110011
312012020111102221211011
4302212130202103303
51342233004342341
640543153331351
73632254165213
oct624634422363
9165214387734
1054332105971
112105106a420
12a643866b57
13517b420940
1428b5c14243
15162ed6bb81
hexca67224f3

54332105971 has 32 divisors (see below), whose sum is σ = 66663959040. Its totient is φ = 43573094400.

The previous prime is 54332105969. The next prime is 54332106001. The reversal of 54332105971 is 17950123345.

54332105971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54332105971 - 21 = 54332105969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54332105911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4134291 + ... + 4147411.

It is an arithmetic number, because the mean of its divisors is an integer number (2083248720).

Almost surely, 254332105971 is an apocalyptic number.

54332105971 is a deficient number, since it is larger than the sum of its proper divisors (12331853069).

54332105971 is a wasteful number, since it uses less digits than its factorization.

54332105971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427.

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 54332105971 in words is "fifty-four billion, three hundred thirty-two million, one hundred five thousand, nine hundred seventy-one".

Divisors: 1 11 13 23 143 253 299 1259 3289 13121 13849 16367 28957 144331 170573 180037 301783 318527 376441 1876303 3319613 3923179 4140851 16519339 43154969 181712729 214751407 379944797 2362265477 4179392767 4939282361 54332105971