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54294126121 = 38925992
BaseRepresentation
bin110010100100001011…
…101001111000101001
312012010211222101021001
4302210023221320221
51342143244013441
640535315315001
73631313312614
oct624413517051
9165124871231
1054294126121
1121031689614
12a632baba61
1351735b3761
1428b0b6917b
15162b868731
hexca42e9e29

54294126121 has 9 divisors (see below), whose sum is σ = 54525085111. Its totient is φ = 54064144264.

The previous prime is 54294126119. The next prime is 54294126127. The reversal of 54294126121 is 12162149245.

The square root of 54294126121 is 233011.

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., 12816730521 + 41477395600 = 113211^2 + 203660^2 .

It is not a de Polignac number, because 54294126121 - 21 = 54294126119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54294126127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90640980 + ... + 90641578.

Almost surely, 254294126121 is an apocalyptic number.

54294126121 is the 233011-st square number.

54294126121 is the 116506-th centered octagonal number.

It is an amenable number.

54294126121 is a deficient number, since it is larger than the sum of its proper divisors (230958990).

54294126121 is an frugal number, since it uses more digits than its factorization.

54294126121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 988 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The spelling of 54294126121 in words is "fifty-four billion, two hundred ninety-four million, one hundred twenty-six thousand, one hundred twenty-one".

Divisors: 1 389 599 151321 233011 358801 90641279 139573589 54294126121