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3132007047 = 331329307693
BaseRepresentation
bin1011101010101110…
…1010001010000111
322002021102102222000
42322223222022013
522403243211142
61234441440343
7140420422611
oct27253521207
98067372860
103132007047
111367a33284
12734aa00b3
133abb53710
14219d69db1
15134e6c14c
hexbaaea287

3132007047 has 32 divisors (see below), whose sum is σ = 5169259200. Its totient is φ = 1860921216.

The previous prime is 3132007033. The next prime is 3132007049. The reversal of 3132007047 is 7407002313.

It is not a de Polignac number, because 3132007047 - 24 = 3132007031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

3132007047 is a modest number, since divided by 7047 gives 3132 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3132007047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132007049) 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 31 ways as a sum of consecutive naturals, for example, 143668 + ... + 164025.

It is an arithmetic number, because the mean of its divisors is an integer number (161539350).

Almost surely, 23132007047 is an apocalyptic number.

3132007047 is a deficient number, since it is larger than the sum of its proper divisors (2037252153).

3132007047 is a wasteful number, since it uses less digits than its factorization.

3132007047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307744 (or 307738 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3132007047 is about 55964.3372783061. The cubic root of 3132007047 is about 1463.1007856459.

It can be divided in two parts, 313200 and 7047, that multiplied together give a square (2207120400 = 469802).

The spelling of 3132007047 in words is "three billion, one hundred thirty-two million, seven thousand, forty-seven".

Divisors: 1 3 9 13 27 29 39 87 117 261 351 377 783 1131 3393 10179 307693 923079 2769237 4000009 8307711 8923097 12000027 26769291 36000081 80307873 108000243 116000261 240923619 348000783 1044002349 3132007047