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516350211642 = 23228686122869
BaseRepresentation
bin1111000001110001101…
…11101111011000111010
31211100210100000112002200
413200320313233120322
531424441123233032
61033112533011030
752206432245016
oct7407067573072
91740710015080
10516350211642
11189a8a262501
12840a4783a76
13398cb632615
141adc48b9546
15d67125547c
hex7838def63a

516350211642 has 12 divisors (see below), whose sum is σ = 1118758791930. Its totient is φ = 172116737208.

The previous prime is 516350211617. The next prime is 516350211649. The reversal of 516350211642 is 246112053615.

516350211642 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 5 + 0 + 2 + 1 + 1 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 392087616561 + 124262595081 = 626169^2 + 352509^2 .

It is a junction number, because it is equal to n+sod(n) for n = 516350211597 and 516350211606.

It is not an unprimeable number, because it can be changed into a prime (516350211649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14343061417 + ... + 14343061452.

Almost surely, 2516350211642 is an apocalyptic number.

516350211642 is an abundant number, since it is smaller than the sum of its proper divisors (602408580288).

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

516350211642 is a wasteful number, since it uses less digits than its factorization.

516350211642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28686122877 (or 28686122874 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 516350211642 in words is "five hundred sixteen billion, three hundred fifty million, two hundred eleven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 28686122869 57372245738 86058368607 172116737214 258175105821 516350211642