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4812705967 = 17736615867
BaseRepresentation
bin1000111101101110…
…00001000010101111
3110102101221210110011
410132313001002233
534324023042332
62113320554051
7230156216506
oct43667010257
913371853404
104812705967
11204a713253
12b23922927
135b9102a14
1433926983d
151d27abe47
hex11edc10af

4812705967 has 16 divisors (see below), whose sum is σ = 5174308512. Its totient is φ = 4460037120.

The previous prime is 4812705941. The next prime is 4812705977. The reversal of 4812705967 is 7695072184.

It is a cyclic number.

It is not a de Polignac number, because 4812705967 - 27 = 4812705839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4812705967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812705917) 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, 817368 + ... + 823234.

It is an arithmetic number, because the mean of its divisors is an integer number (323394282).

Almost surely, 24812705967 is an apocalyptic number.

4812705967 is a deficient number, since it is larger than the sum of its proper divisors (361602545).

4812705967 is a wasteful number, since it uses less digits than its factorization.

4812705967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618.

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 4812705967 is about 69373.6691187658. The cubic root of 4812705967 is about 1688.3524397122.

The spelling of 4812705967 in words is "four billion, eight hundred twelve million, seven hundred five thousand, nine hundred sixty-seven".

Divisors: 1 17 73 661 1241 5867 11237 48253 99739 428291 820301 3878087 7280947 65927479 283100351 4812705967