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57805142329 = 11419872
BaseRepresentation
bin110101110101011101…
…000111100100111001
312112012112120111001101
4311311131013210321
51421341104023304
642315540451401
74114315413514
oct656535074471
9175175514041
1057805142329
1122573550000
12b2529a9b61
1355b2b0933c
142b25193d7b
151784bee8a4
hexd75747939

57805142329 has 15 divisors (see below), whose sum is σ = 63617278485. Its totient is φ = 52523682420.

The previous prime is 57805142321. The next prime is 57805142387. The reversal of 57805142329 is 92324150875.

The square root of 57805142329 is 240427.

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

It is not a de Polignac number, because 57805142329 - 23 = 57805142321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57805142321) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29090674 + ... + 29092660.

It is an arithmetic number, because the mean of its divisors is an integer number (4241151899).

Almost surely, 257805142329 is an apocalyptic number.

57805142329 is the 240427-th square number.

57805142329 is the 120214-th centered octagonal number.

It is an amenable number.

57805142329 is a deficient number, since it is larger than the sum of its proper divisors (5812136156).

57805142329 is an frugal number, since it uses more digits than its factorization.

57805142329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 57805142329 in words is "fifty-seven billion, eight hundred five million, one hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 11 121 1331 1987 14641 21857 240427 2644697 3948169 29091667 43429859 477728449 5255012939 57805142329