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470408054769 = 34762072
BaseRepresentation
bin1101101100001101000…
…00010100011111110001
31122222012112202010210000
412312012200110133301
530201343430223034
61000034045100213
745662102330502
oct6660640243761
91588175663700
10470408054769
111715540a1014
1277202857669
1335489487603
1418aa7078ba9
15c382c5e599
hex6d868147f1

470408054769 has 15 divisors (see below), whose sum is σ = 702717549897. Its totient is φ = 313601254668.

The previous prime is 470408054761. The next prime is 470408054773. The reversal of 470408054769 is 967450804074.

The square root of 470408054769 is 685863.

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

470408054769 is a `hidden beast` number, since 470 + 40 + 80 + 54 + 7 + 6 + 9 = 666.

It is not a de Polignac number, because 470408054769 - 23 = 470408054761 is a prime.

It is a super-2 number, since 2×4704080547692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470408054761) 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 14 ways as a sum of consecutive naturals, for example, 6134664 + ... + 6210870.

Almost surely, 2470408054769 is an apocalyptic number.

470408054769 is the 685863-rd square number.

470408054769 is the 342932-nd centered octagonal number.

It is an amenable number.

470408054769 is a deficient number, since it is larger than the sum of its proper divisors (232309495128).

470408054769 is an frugal number, since it uses more digits than its factorization.

470408054769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152426 (or 76210 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 470408054769 in words is "four hundred seventy billion, four hundred eight million, fifty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 76207 228621 685863 2057589 6172767 5807506849 17422520547 52267561641 156802684923 470408054769