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47531920716 = 2235715594481
BaseRepresentation
bin101100010001000111…
…111000110101001100
311112200120200202100000
4230101013320311030
51234321132430331
633500314004300
73301612442220
oct542107706514
9145616622300
1047531920716
1119181591605
129266416690
134636638897
14242ca2c780
151382d720e6
hexb111f8d4c

47531920716 has 144 divisors (see below), whose sum is σ = 142523297280. Its totient is φ = 13568808960.

The previous prime is 47531920693. The next prime is 47531920717. The reversal of 47531920716 is 61702913574.

47531920716 is a `hidden beast` number, since 47 + 531 + 9 + 2 + 0 + 71 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (47531920717) 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 47 ways as a sum of consecutive naturals, for example, 10605196 + ... + 10609676.

It is an arithmetic number, because the mean of its divisors is an integer number (989745120).

Almost surely, 247531920716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47531920716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71261648640).

47531920716 is an abundant number, since it is smaller than the sum of its proper divisors (94991376564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47531920716 is a wasteful number, since it uses less digits than its factorization.

47531920716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 47531920716 in words is "forty-seven billion, five hundred thirty-one million, nine hundred twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1559 1701 2268 3118 3402 4481 4677 6236 6804 8962 9354 10913 13443 14031 17924 18708 21826 26886 28062 31367 32739 40329 42093 43652 53772 56124 62734 65478 80658 84186 94101 98217 120987 125468 126279 130956 161316 168372 188202 196434 241974 252558 282303 294651 362961 376404 378837 392868 483948 505116 564606 589302 725922 757674 846909 883953 1088883 1129212 1178604 1451844 1515348 1693818 1767906 2177766 2540727 2651859 3387636 3535812 4355532 5081454 5303718 6985879 7622181 10162908 10607436 13971758 15244362 20957637 27943516 30488724 41915274 48901153 62872911 83830548 97802306 125745822 146703459 188618733 195604612 251491644 293406918 377237466 440110377 565856199 586813836 754474932 880220754 1131712398 1320331131 1697568597 1760441508 2263424796 2640662262 3395137194 3960993393 5281324524 6790274388 7921986786 11882980179 15843973572 23765960358 47531920716