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1981505729 = 72379831877
BaseRepresentation
bin111011000011011…
…0110000011000001
312010002112220212002
41312012312003001
513024231140404
6524342313345
7100050343430
oct16606660301
95102486762
101981505729
11927565645
12473728855
132576a03c8
1414b243117
15b8e5cc1e
hex761b60c1

1981505729 has 32 divisors (see below), whose sum is σ = 2423070720. Its totient is φ = 1583854272.

The previous prime is 1981505719. The next prime is 1981505731. The reversal of 1981505729 is 9275051891.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1981505729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1981505719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054739 + ... + 1056615.

It is an arithmetic number, because the mean of its divisors is an integer number (75720960).

Almost surely, 21981505729 is an apocalyptic number.

It is an amenable number.

1981505729 is a deficient number, since it is larger than the sum of its proper divisors (441564991).

1981505729 is a wasteful number, since it uses less digits than its factorization.

1981505729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069.

The product of its (nonzero) digits is 226800, while the sum is 47.

The square root of 1981505729 is about 44514.1070785431. The cubic root of 1981505729 is about 1256.0254638789.

The spelling of 1981505729 in words is "one billion, nine hundred eighty-one million, five hundred five thousand, seven hundred twenty-nine".

Divisors: 1 7 23 79 83 161 553 581 1817 1877 1909 6557 12719 13139 13363 43171 45899 148283 150811 155791 302197 1037981 1055677 1090537 3410509 3583193 12307489 23873563 25082351 86152423 283072247 1981505729