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54232628641 = 179213012
BaseRepresentation
bin110010100000100001…
…000011110110100001
312011222120020222120121
4302200201003312201
51342032023104031
640525241240241
73626635510642
oct624041036641
9164876228517
1054232628641
1120aaa9a5654
12a616493081
135163931009
1428a691b6c9
15162626c011
hexca0843da1

54232628641 has 9 divisors (see below), whose sum is σ = 54579248563. Its totient is φ = 53888200600.

The previous prime is 54232628621. The next prime is 54232628657. The reversal of 54232628641 is 14682623245.

The square root of 54232628641 is 232879.

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., 83338641 + 54149290000 = 9129^2 + 232700^2 .

It is not a de Polignac number, because 54232628641 - 211 = 54232626593 is a prime.

It is a super-2 number, since 2×542326286412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54232628621) 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, 41684691 + ... + 41685991.

Almost surely, 254232628641 is an apocalyptic number.

54232628641 is the 232879-th square number.

54232628641 is the 116440-th centered octagonal number.

It is an amenable number.

54232628641 is a deficient number, since it is larger than the sum of its proper divisors (346619922).

54232628641 is an frugal number, since it uses more digits than its factorization.

54232628641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 1480 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The spelling of 54232628641 in words is "fifty-four billion, two hundred thirty-two million, six hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 179 1301 32041 232879 1692601 41685341 302975579 54232628641