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1047641013 = 3357767247
BaseRepresentation
bin111110011100011…
…011101110110101
32201000022200022000
4332130123232311
54121144003023
6251542325513
734650541656
oct7634335665
92630280260
101047641013
11498403221
12252a29899
1313907a933
149d1cd52d
1561e92243
hex3e71bbb5

1047641013 has 16 divisors (see below), whose sum is σ = 1554773760. Its totient is φ = 697206528.

The previous prime is 1047641009. The next prime is 1047641029. The reversal of 1047641013 is 3101467401.

It is a happy number.

1047641013 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 641 + 0 + 13 = 666.

It is not a de Polignac number, because 1047641013 - 22 = 1047641009 is a prime.

It is a super-3 number, since 3×10476410133 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047641083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18045 + ... + 49202.

It is an arithmetic number, because the mean of its divisors is an integer number (97173360).

Almost surely, 21047641013 is an apocalyptic number.

It is an amenable number.

1047641013 is a deficient number, since it is larger than the sum of its proper divisors (507132747).

1047641013 is an equidigital number, since it uses as much as digits as its factorization.

1047641013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67833 (or 67827 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1047641013 is about 32367.2830648481. The cubic root of 1047641013 is about 1015.6346223347.

The spelling of 1047641013 in words is "one billion, forty-seven million, six hundred forty-one thousand, thirteen".

Divisors: 1 3 9 27 577 1731 5193 15579 67247 201741 605223 1815669 38801519 116404557 349213671 1047641013