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516130170084 = 22321197372
BaseRepresentation
bin1111000001010111100…
…00010110010011100100
31211100012222222020211100
413200223300112103210
531424013310420314
61033035032440100
752201121026314
oct7405360262344
91740188866740
10516130170084
11189987030a81
1284042b49030
1339894b7c009
141ada359b444
15d65bc8cc09
hex782bc164e4

516130170084 has 27 divisors (see below), whose sum is σ = 1304673270537. Its totient is φ = 172041953184.

The previous prime is 516130170047. The next prime is 516130170113. The reversal of 516130170084 is 480071031615.

The square root of 516130170084 is 718422.

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

516130170084 is a `hidden beast` number, since 516 + 130 + 1 + 7 + 0 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 230256022500 + 285874147584 = 479850^2 + 534672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4250664 + ... + 4370400.

Almost surely, 2516130170084 is an apocalyptic number.

516130170084 is the 718422-nd square number.

It is an amenable number.

516130170084 is an abundant number, since it is smaller than the sum of its proper divisors (788543100453).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516130170084 is an frugal number, since it uses more digits than its factorization.

516130170084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239484 (or 119742 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 516130170084 by its sum of digits (36), we get a square (18580686123024 = 43105322).

516130170084 divided by its sum of digits (36) gives a square (14336949169 = 1197372).

The spelling of 516130170084 in words is "five hundred sixteen billion, one hundred thirty million, one hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 119737 239474 359211 478948 718422 1077633 1436844 2155266 4310532 14336949169 28673898338 43010847507 57347796676 86021695014 129032542521 172043390028 258065085042 516130170084