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54346333129 = 112211932
BaseRepresentation
bin110010100111010010…
…110011101111001001
312012021111012202210221
4302213102303233021
51342300130130004
640544422310041
73632516131624
oct624722635711
9165244182727
1054346333129
11210590a7500
12a648588321
13518136258a
1428b7a78dbb
15163122c354
hexca74b3bc9

54346333129 has 9 divisors (see below), whose sum is σ = 59738870919. Its totient is φ = 49403426160.

The previous prime is 54346333109. The next prime is 54346333133. The reversal of 54346333129 is 92133364345.

The square root of 54346333129 is 233123.

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., 1835694025 + 52510639104 = 42845^2 + 229152^2 .

It is not a de Polignac number, because 54346333129 - 213 = 54346324937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54346333109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2553757 + ... + 2574949.

Almost surely, 254346333129 is an apocalyptic number.

54346333129 is the 233123-rd square number.

54346333129 is the 116562-nd centered octagonal number.

It is an amenable number.

54346333129 is a deficient number, since it is larger than the sum of its proper divisors (5392537790).

54346333129 is an frugal number, since it uses more digits than its factorization.

54346333129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42408 (or 21204 counting only the distinct ones).

The product of its digits is 699840, while the sum is 43.

The spelling of 54346333129 in words is "fifty-four billion, three hundred forty-six million, three hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 11 121 21193 233123 2564353 449143249 4940575739 54346333129