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57677305921 = 137217532
BaseRepresentation
bin110101101101110101…
…011101100001000001
312111212122000201110121
4311231311131201001
51421110342242141
642255132500241
74111204003564
oct655565354101
9174778021417
1057677305921
1122508376684
12b21801a681
13559249a5b1
142b121d84db
15177889c1d1
hexd6dd5d841

57677305921 has 9 divisors (see below), whose sum is σ = 58134544041. Its totient is φ = 57223641792.

The previous prime is 57677305879. The next prime is 57677306003. The reversal of 57677305921 is 12950377675.

The square root of 57677305921 is 240161.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14662545921 + 43014760000 = 121089^2 + 207400^2 .

It is not a de Polignac number, because 57677305921 - 213 = 57677297729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57677305421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32901181 + ... + 32902933.

Almost surely, 257677305921 is an apocalyptic number.

57677305921 is the 240161-st square number.

57677305921 is the 120081-st centered octagonal number.

It is an amenable number.

57677305921 is a deficient number, since it is larger than the sum of its proper divisors (457238120).

57677305921 is an frugal number, since it uses more digits than its factorization.

57677305921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 52.

The spelling of 57677305921 in words is "fifty-seven billion, six hundred seventy-seven million, three hundred five thousand, nine hundred twenty-one".

Divisors: 1 137 1753 18769 240161 3073009 32902057 421002233 57677305921