Search a number
-
+
812197164350 = 2521113160770687
BaseRepresentation
bin10111101000110101011…
…10010011010100111110
32212122102102020212222102
423310122232103110332
5101301334433224400
61421041311545102
7112452000662645
oct13643256232476
92778372225872
10812197164350
112934a6141910
121114ab22b192
135b788c148a0
142b44c22835c
15161d900b9d5
hexbd1ab9353e

812197164350 has 96 divisors (see below), whose sum is σ = 1775922333696. Its totient is φ = 272452118400.

The previous prime is 812197164349. The next prime is 812197164353. The reversal of 812197164350 is 53461791218.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 812197164295 and 812197164304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812197164353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11454707 + ... + 11525393.

It is an arithmetic number, because the mean of its divisors is an integer number (18499190976).

It is a 1-persistent number, because it is pandigital, but 2⋅812197164350 = 1624394328700 is not.

Almost surely, 2812197164350 is an apocalyptic number.

812197164350 is an abundant number, since it is smaller than the sum of its proper divisors (963725169346).

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

812197164350 is a wasteful number, since it uses less digits than its factorization.

812197164350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72330 (or 72325 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 812197164350 in words is "eight hundred twelve billion, one hundred ninety-seven million, one hundred sixty-four thousand, three hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 130 143 275 286 325 550 650 715 1430 1607 3214 3575 7150 8035 16070 17677 20891 35354 40175 41782 70687 80350 88385 104455 141374 176770 208910 229801 353435 441925 459602 522275 706870 777557 883850 918931 1044550 1149005 1555114 1767175 1837862 2298010 3534350 3887785 4594655 5745025 7775570 9189310 10108241 11490050 19438925 20216482 22973275 38877850 45946550 50541205 101082410 113594009 227188018 252706025 505412050 567970045 1135940090 1249534099 1476722117 2499068198 2839850225 2953444234 5679700450 6247670495 7383610585 12495340990 14767221170 16243943287 31238352475 32487886574 36918052925 62476704950 73836105850 81219716435 162439432870 406098582175 812197164350