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516105605661 = 3377336343247
BaseRepresentation
bin1111000001010100100…
…10101001001000011101
31211100011021202020202220
413200222102221020131
531423441013340121
61033032354135553
752200402160032
oct7405222511035
91740137666686
10516105605661
111899741833a8
12840368815b9
133988ca5b159
141ada0205389
15d659a396c6
hex782a4a921d

516105605661 has 16 divisors (see below), whose sum is σ = 707703492864. Its totient is φ = 334314437184.

The previous prime is 516105605623. The next prime is 516105605663. The reversal of 516105605661 is 166506501615.

It is not a de Polignac number, because 516105605661 - 26 = 516105605597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516105605663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090261 + ... + 3252986.

It is an arithmetic number, because the mean of its divisors is an integer number (44231468304).

Almost surely, 2516105605661 is an apocalyptic number.

It is an amenable number.

516105605661 is a deficient number, since it is larger than the sum of its proper divisors (191597887203).

516105605661 is a wasteful number, since it uses less digits than its factorization.

516105605661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344020.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 516105605661 in words is "five hundred sixteen billion, one hundred five million, six hundred five thousand, six hundred sixty-one".

Divisors: 1 3 37 111 733 2199 27121 81363 6343247 19029741 234700139 704100417 4649600051 13948800153 172035201887 516105605661