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4131694047 = 313991106903
BaseRepresentation
bin1111011001000100…
…1010010111011111
3101122221111210201110
43312101022113133
531430203202142
61521552313103
7204246551145
oct36621122737
911587453643
104131694047
111830262988
12973842793
1350acb12a0
142b2a35595
15192ada99c
hexf644a5df

4131694047 has 16 divisors (see below), whose sum is σ = 5938731008. Its totient is φ = 2539991520.

The previous prime is 4131694027. The next prime is 4131694117. The reversal of 4131694047 is 7404961314.

It is not a de Polignac number, because 4131694047 - 28 = 4131693791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4131693996 and 4131694014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131694027) 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 15 ways as a sum of consecutive naturals, for example, 14803 + ... + 92100.

It is an arithmetic number, because the mean of its divisors is an integer number (371170688).

Almost surely, 24131694047 is an apocalyptic number.

4131694047 is a deficient number, since it is larger than the sum of its proper divisors (1807036961).

4131694047 is a wasteful number, since it uses less digits than its factorization.

4131694047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107910.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4131694047 is about 64278.2548534106. The cubic root of 4131694047 is about 1604.6342268741.

The spelling of 4131694047 in words is "four billion, one hundred thirty-one million, six hundred ninety-four thousand, forty-seven".

Divisors: 1 3 13 39 991 2973 12883 38649 106903 320709 1389739 4169217 105940873 317822619 1377231349 4131694047